TSTP Solution File: SWV588-1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SWV588-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n012.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 19:20:23 EDT 2022
% Result : Unknown 11.93s 12.12s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV588-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : iprover_modulo %s %d
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 15 09:08:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Running in mono-core mode
% 0.57/0.75 % Orienting using strategy Equiv(ClausalAll)
% 0.57/0.75 % Orientation found
% 0.57/0.75 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_07074b.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_d9adab.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_ab3cbe | grep -v "SZS"
% 0.62/0.76
% 0.62/0.76 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.62/0.76
% 0.62/0.76 %
% 0.62/0.76 % ------ iProver source info
% 0.62/0.76
% 0.62/0.76 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.62/0.76 % git: non_committed_changes: true
% 0.62/0.76 % git: last_make_outside_of_git: true
% 0.62/0.76
% 0.62/0.76 %
% 0.62/0.76 % ------ Input Options
% 0.62/0.76
% 0.62/0.76 % --out_options all
% 0.62/0.76 % --tptp_safe_out true
% 0.62/0.76 % --problem_path ""
% 0.62/0.76 % --include_path ""
% 0.62/0.76 % --clausifier .//eprover
% 0.62/0.76 % --clausifier_options --tstp-format
% 0.62/0.76 % --stdin false
% 0.62/0.76 % --dbg_backtrace false
% 0.62/0.76 % --dbg_dump_prop_clauses false
% 0.62/0.76 % --dbg_dump_prop_clauses_file -
% 0.62/0.76 % --dbg_out_stat false
% 0.62/0.76
% 0.62/0.76 % ------ General Options
% 0.62/0.76
% 0.62/0.76 % --fof false
% 0.62/0.76 % --time_out_real 150.
% 0.62/0.76 % --time_out_prep_mult 0.2
% 0.62/0.76 % --time_out_virtual -1.
% 0.62/0.76 % --schedule none
% 0.62/0.76 % --ground_splitting input
% 0.62/0.76 % --splitting_nvd 16
% 0.62/0.76 % --non_eq_to_eq false
% 0.62/0.76 % --prep_gs_sim true
% 0.62/0.76 % --prep_unflatten false
% 0.62/0.76 % --prep_res_sim true
% 0.62/0.76 % --prep_upred true
% 0.62/0.76 % --res_sim_input true
% 0.62/0.76 % --clause_weak_htbl true
% 0.62/0.76 % --gc_record_bc_elim false
% 0.62/0.76 % --symbol_type_check false
% 0.62/0.76 % --clausify_out false
% 0.62/0.76 % --large_theory_mode false
% 0.62/0.76 % --prep_sem_filter none
% 0.62/0.76 % --prep_sem_filter_out false
% 0.62/0.76 % --preprocessed_out false
% 0.62/0.76 % --sub_typing false
% 0.62/0.76 % --brand_transform false
% 0.62/0.76 % --pure_diseq_elim true
% 0.62/0.76 % --min_unsat_core false
% 0.62/0.76 % --pred_elim true
% 0.62/0.76 % --add_important_lit false
% 0.62/0.76 % --soft_assumptions false
% 0.62/0.76 % --reset_solvers false
% 0.62/0.76 % --bc_imp_inh []
% 0.62/0.76 % --conj_cone_tolerance 1.5
% 0.62/0.76 % --prolific_symb_bound 500
% 0.62/0.76 % --lt_threshold 2000
% 0.62/0.76
% 0.62/0.76 % ------ SAT Options
% 0.62/0.76
% 0.62/0.76 % --sat_mode false
% 0.62/0.76 % --sat_fm_restart_options ""
% 0.62/0.76 % --sat_gr_def false
% 0.62/0.76 % --sat_epr_types true
% 0.62/0.76 % --sat_non_cyclic_types false
% 0.62/0.76 % --sat_finite_models false
% 0.62/0.76 % --sat_fm_lemmas false
% 0.62/0.76 % --sat_fm_prep false
% 0.62/0.76 % --sat_fm_uc_incr true
% 0.62/0.76 % --sat_out_model small
% 0.62/0.76 % --sat_out_clauses false
% 0.62/0.76
% 0.62/0.76 % ------ QBF Options
% 0.62/0.76
% 0.62/0.76 % --qbf_mode false
% 0.62/0.76 % --qbf_elim_univ true
% 0.62/0.76 % --qbf_sk_in true
% 0.62/0.76 % --qbf_pred_elim true
% 0.62/0.76 % --qbf_split 32
% 0.62/0.76
% 0.62/0.76 % ------ BMC1 Options
% 0.62/0.76
% 0.62/0.76 % --bmc1_incremental false
% 0.62/0.76 % --bmc1_axioms reachable_all
% 0.62/0.76 % --bmc1_min_bound 0
% 0.62/0.76 % --bmc1_max_bound -1
% 0.62/0.76 % --bmc1_max_bound_default -1
% 0.62/0.76 % --bmc1_symbol_reachability true
% 0.62/0.76 % --bmc1_property_lemmas false
% 0.62/0.76 % --bmc1_k_induction false
% 0.62/0.76 % --bmc1_non_equiv_states false
% 0.62/0.76 % --bmc1_deadlock false
% 0.62/0.76 % --bmc1_ucm false
% 0.62/0.76 % --bmc1_add_unsat_core none
% 0.62/0.76 % --bmc1_unsat_core_children false
% 0.62/0.76 % --bmc1_unsat_core_extrapolate_axioms false
% 0.62/0.76 % --bmc1_out_stat full
% 0.62/0.76 % --bmc1_ground_init false
% 0.62/0.76 % --bmc1_pre_inst_next_state false
% 0.62/0.76 % --bmc1_pre_inst_state false
% 0.62/0.76 % --bmc1_pre_inst_reach_state false
% 0.62/0.76 % --bmc1_out_unsat_core false
% 0.62/0.76 % --bmc1_aig_witness_out false
% 0.62/0.76 % --bmc1_verbose false
% 0.62/0.76 % --bmc1_dump_clauses_tptp false
% 5.38/5.93 % --bmc1_dump_unsat_core_tptp false
% 5.38/5.93 % --bmc1_dump_file -
% 5.38/5.93 % --bmc1_ucm_expand_uc_limit 128
% 5.38/5.93 % --bmc1_ucm_n_expand_iterations 6
% 5.38/5.93 % --bmc1_ucm_extend_mode 1
% 5.38/5.93 % --bmc1_ucm_init_mode 2
% 5.38/5.93 % --bmc1_ucm_cone_mode none
% 5.38/5.93 % --bmc1_ucm_reduced_relation_type 0
% 5.38/5.93 % --bmc1_ucm_relax_model 4
% 5.38/5.93 % --bmc1_ucm_full_tr_after_sat true
% 5.38/5.93 % --bmc1_ucm_expand_neg_assumptions false
% 5.38/5.93 % --bmc1_ucm_layered_model none
% 5.38/5.93 % --bmc1_ucm_max_lemma_size 10
% 5.38/5.93
% 5.38/5.93 % ------ AIG Options
% 5.38/5.93
% 5.38/5.93 % --aig_mode false
% 5.38/5.93
% 5.38/5.93 % ------ Instantiation Options
% 5.38/5.93
% 5.38/5.93 % --instantiation_flag true
% 5.38/5.93 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 5.38/5.93 % --inst_solver_per_active 750
% 5.38/5.93 % --inst_solver_calls_frac 0.5
% 5.38/5.93 % --inst_passive_queue_type priority_queues
% 5.38/5.93 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 5.38/5.93 % --inst_passive_queues_freq [25;2]
% 5.38/5.93 % --inst_dismatching true
% 5.38/5.93 % --inst_eager_unprocessed_to_passive true
% 5.38/5.93 % --inst_prop_sim_given true
% 5.38/5.93 % --inst_prop_sim_new false
% 5.38/5.93 % --inst_orphan_elimination true
% 5.38/5.93 % --inst_learning_loop_flag true
% 5.38/5.93 % --inst_learning_start 3000
% 5.38/5.93 % --inst_learning_factor 2
% 5.38/5.93 % --inst_start_prop_sim_after_learn 3
% 5.38/5.93 % --inst_sel_renew solver
% 5.38/5.93 % --inst_lit_activity_flag true
% 5.38/5.93 % --inst_out_proof true
% 5.38/5.93
% 5.38/5.93 % ------ Resolution Options
% 5.38/5.93
% 5.38/5.93 % --resolution_flag true
% 5.38/5.93 % --res_lit_sel kbo_max
% 5.38/5.93 % --res_to_prop_solver none
% 5.38/5.93 % --res_prop_simpl_new false
% 5.38/5.93 % --res_prop_simpl_given false
% 5.38/5.93 % --res_passive_queue_type priority_queues
% 5.38/5.93 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 5.38/5.93 % --res_passive_queues_freq [15;5]
% 5.38/5.93 % --res_forward_subs full
% 5.38/5.93 % --res_backward_subs full
% 5.38/5.93 % --res_forward_subs_resolution true
% 5.38/5.93 % --res_backward_subs_resolution true
% 5.38/5.93 % --res_orphan_elimination false
% 5.38/5.93 % --res_time_limit 1000.
% 5.38/5.93 % --res_out_proof true
% 5.38/5.93 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_07074b.s
% 5.38/5.93 % --modulo true
% 5.38/5.93
% 5.38/5.93 % ------ Combination Options
% 5.38/5.93
% 5.38/5.93 % --comb_res_mult 1000
% 5.38/5.93 % --comb_inst_mult 300
% 5.38/5.93 % ------
% 5.38/5.93
% 5.38/5.93 % ------ Parsing...% successful
% 5.38/5.93
% 5.38/5.93 % ------ 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 %
% 5.38/5.93
% 5.38/5.93 % ------ Proving...
% 5.38/5.93 % ------ Problem Properties
% 5.38/5.93
% 5.38/5.93 %
% 5.38/5.93 % EPR false
% 5.38/5.93 % Horn false
% 5.38/5.93 % Has equality true
% 5.38/5.93
% 5.38/5.93 % % ------ Input Options Time Limit: Unbounded
% 5.38/5.93
% 5.38/5.93
% 5.38/5.93 Compiling...
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% 5.38/5.93 % % ------ Current options:
% 5.38/5.93
% 5.38/5.93 % ------ Input Options
% 5.38/5.93
% 5.38/5.93 % --out_options all
% 5.38/5.93 % --tptp_safe_out true
% 5.38/5.93 % --problem_path ""
% 5.38/5.93 % --include_path ""
% 5.38/5.93 % --clausifier .//eprover
% 5.38/5.93 % --clausifier_options --tstp-format
% 5.38/5.93 % --stdin false
% 5.38/5.93 % --dbg_backtrace false
% 5.38/5.93 % --dbg_dump_prop_clauses false
% 5.38/5.93 % --dbg_dump_prop_clauses_file -
% 5.38/5.93 % --dbg_out_stat false
% 5.38/5.93
% 5.38/5.93 % ------ General Options
% 5.38/5.93
% 5.38/5.93 % --fof false
% 5.38/5.93 % --time_out_real 150.
% 5.38/5.93 % --time_out_prep_mult 0.2
% 5.38/5.93 % --time_out_virtual -1.
% 5.38/5.93 % --schedule none
% 5.38/5.93 % --ground_splitting input
% 5.38/5.93 % --splitting_nvd 16
% 5.38/5.93 % --non_eq_to_eq false
% 5.38/5.93 % --prep_gs_sim true
% 5.38/5.93 % --prep_unflatten false
% 5.38/5.93 % --prep_res_sim true
% 5.38/5.93 % --prep_upred true
% 5.38/5.93 % --res_sim_input true
% 5.38/5.93 % --clause_weak_htbl true
% 5.38/5.93 % --gc_record_bc_elim false
% 5.38/5.93 % --symbol_type_check false
% 5.38/5.93 % --clausify_out false
% 5.38/5.93 % --large_theory_mode false
% 5.38/5.93 % --prep_sem_filter none
% 5.38/5.93 % --prep_sem_filter_out false
% 5.38/5.93 % --preprocessed_out false
% 5.38/5.93 % --sub_typing false
% 5.38/5.93 % --brand_transform false
% 5.38/5.93 % --pure_diseq_elim true
% 5.38/5.93 % --min_unsat_core false
% 5.38/5.93 % --pred_elim true
% 5.38/5.93 % --add_important_lit false
% 5.38/5.93 % --soft_assumptions false
% 5.38/5.93 % --reset_solvers false
% 5.38/5.93 % --bc_imp_inh []
% 5.38/5.93 % --conj_cone_tolerance 1.5
% 5.38/5.93 % --prolific_symb_bound 500
% 5.38/5.93 % --lt_threshold 2000
% 5.38/5.93
% 5.38/5.93 % ------ SAT Options
% 5.38/5.93
% 5.38/5.93 % --sat_mode false
% 5.38/5.93 % --sat_fm_restart_options ""
% 5.38/5.93 % --sat_gr_def false
% 5.38/5.94 % --sat_epr_types true
% 5.38/5.94 % --sat_non_cyclic_types false
% 5.38/5.94 % --sat_finite_models false
% 5.38/5.94 % --sat_fm_lemmas false
% 5.38/5.94 % --sat_fm_prep false
% 5.38/5.94 % --sat_fm_uc_incr true
% 5.38/5.94 % --sat_out_model small
% 5.38/5.94 % --sat_out_clauses false
% 5.38/5.94
% 5.38/5.94 % ------ QBF Options
% 5.38/5.94
% 5.38/5.94 % --qbf_mode false
% 5.38/5.94 % --qbf_elim_univ true
% 5.38/5.94 % --qbf_sk_in true
% 5.38/5.94 % --qbf_pred_elim true
% 5.38/5.94 % --qbf_split 32
% 5.38/5.94
% 5.38/5.94 % ------ BMC1 Options
% 5.38/5.94
% 5.38/5.94 % --bmc1_incremental false
% 5.38/5.94 % --bmc1_axioms reachable_all
% 5.38/5.94 % --bmc1_min_bound 0
% 5.38/5.94 % --bmc1_max_bound -1
% 5.38/5.94 % --bmc1_max_bound_default -1
% 5.38/5.94 % --bmc1_symbol_reachability true
% 5.38/5.94 % --bmc1_property_lemmas false
% 5.38/5.94 % --bmc1_k_induction false
% 5.38/5.94 % --bmc1_non_equiv_states false
% 5.38/5.94 % --bmc1_deadlock false
% 5.38/5.94 % --bmc1_ucm false
% 5.38/5.94 % --bmc1_add_unsat_core none
% 5.38/5.94 % --bmc1_unsat_core_children false
% 5.38/5.94 % --bmc1_unsat_core_extrapolate_axioms false
% 5.38/5.94 % --bmc1_out_stat full
% 5.38/5.94 % --bmc1_ground_init false
% 5.38/5.94 % --bmc1_pre_inst_next_state false
% 5.38/5.94 % --bmc1_pre_inst_state false
% 5.38/5.94 % --bmc1_pre_inst_reach_state false
% 5.38/5.94 % --bmc1_out_unsat_core false
% 5.38/5.94 % --bmc1_aig_witness_out false
% 5.38/5.94 % --bmc1_verbose false
% 5.38/5.94 % --bmc1_dump_clauses_tptp false
% 5.38/5.94 % --bmc1_dump_unsat_core_tptp false
% 5.38/5.94 % --bmc1_dump_file -
% 5.38/5.94 % --bmc1_ucm_expand_uc_limit 128
% 5.38/5.94 % --bmc1_ucm_n_expand_iterations 6
% 5.38/5.94 % --bmc1_ucm_extend_mode 1
% 5.38/5.94 % --bmc1_ucm_init_mode 2
% 5.38/5.94 % --bmc1_ucm_cone_mode none
% 5.38/5.94 % --bmc1_ucm_reduced_relation_type 0
% 5.38/5.94 % --bmc1_ucm_relax_model 4
% 5.38/5.94 % --bmc1_ucm_full_tr_after_sat true
% 5.38/5.94 % --bmc1_ucm_expand_neg_assumptions false
% 5.38/5.94 % --bmc1_ucm_layered_model none
% 5.38/5.94 % --bmc1_ucm_max_lemma_size 10
% 5.38/5.94
% 5.38/5.94 % ------ AIG Options
% 5.38/5.94
% 5.38/5.94 % --aig_mode false
% 5.38/5.94
% 5.38/5.94 % ------ Instantiation Options
% 5.38/5.94
% 5.38/5.94 % --instantiation_flag true
% 5.38/5.94 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 5.38/5.94 % --inst_solver_per_active 750
% 5.38/5.94 % --inst_solver_calls_frac 0.5
% 5.38/5.94 % --inst_passive_queue_type priority_queues
% 5.38/5.94 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 5.38/5.94 % --inst_passive_queues_freq [25;2]
% 5.38/5.94 % --inst_dismatching true
% 5.38/5.94 % --inst_eager_unprocessed_to_passive true
% 5.38/5.94 % --inst_prop_sim_given true
% 5.38/5.94 % --inst_prop_sim_new false
% 5.38/5.94 % --inst_orphan_elimination true
% 5.38/5.94 % --inst_learning_loop_flag true
% 5.38/5.94 % --inst_learning_start 3000
% 5.38/5.94 % --inst_learning_factor 2
% 5.38/5.94 % --inst_start_prop_sim_after_learn 3
% 5.38/5.94 % --inst_sel_renew solver
% 5.38/5.94 % --inst_lit_activity_flag true
% 5.38/5.94 % --inst_out_proof true
% 5.38/5.94
% 5.38/5.94 % ------ Resolution Options
% 5.38/5.94
% 5.38/5.94 % --resolution_flag true
% 5.38/5.94 % --res_lit_sel kbo_max
% 5.38/5.94 % --res_to_prop_solver none
% 5.38/5.94 % --res_prop_simpl_new false
% 5.38/5.94 % --res_prop_simpl_given false
% 5.38/5.94 % --res_passive_queue_type priority_queues
% 5.38/5.94 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 5.38/5.94 % --res_passive_queues_freq [15;5]
% 5.38/5.94 % --res_forward_subs full
% 5.38/5.94 % --res_backward_subs full
% 5.38/5.94 % --res_forward_subs_resolution true
% 5.38/5.94 % --res_backward_subs_resolution true
% 5.38/5.94 % --res_orphan_elimination false
% 5.38/5.94 % --res_time_limit 1000.
% 5.38/5.94 % --res_out_proof true
% 5.38/5.94 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_07074b.s
% 5.38/5.94 % --modulo true
% 5.38/5.94
% 5.38/5.94 % ------ Combination Options
% 5.38/5.94
% 5.38/5.94 % --comb_res_mult 1000
% 5.38/5.94 % --comb_inst_mult 300
% 5.38/5.94 % ------
% 5.38/5.94
% 5.38/5.94
% 5.38/5.94
% 5.38/5.94 % ------ Proving...
% 5.38/5.94 % warning: shown sat in sat incomplete mode
% 5.38/5.94 %
% 5.38/5.94
% 5.38/5.94
% 5.38/5.94
% 5.38/5.94
% 5.38/5.94 cnf(c_4531,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 5.38/5.94 | ~ c_Int_Oiszero(X1,X0)
% 5.38/5.94 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6951_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_19606,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 5.38/5.94 | ~ c_Int_Oiszero(X1,X0)
% 5.38/5.94 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4531]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_19607,plain,
% 5.38/5.94 ( ~ c_Int_Oiszero(X0,X1)
% 5.38/5.94 | ~ class_Ring__and__Field_Osemiring__1(X1)
% 5.38/5.94 | X0 = c_HOL_Ozero__class_Ozero(X1) ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_19606]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_4467,plain,
% 5.38/5.94 ( ~ class_Int_Oring__char__0(X0)
% 5.38/5.94 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_Int_Onumber__class_Onumber__of(X2,X0)
% 5.38/5.94 | X1 = X2 ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6925_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_19478,plain,
% 5.38/5.94 ( ~ class_Int_Oring__char__0(X0)
% 5.38/5.94 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_Int_Onumber__class_Onumber__of(X2,X0)
% 5.38/5.94 | X1 = X2 ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4467]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_19479,plain,
% 5.38/5.94 ( ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | ~ class_Int_Oring__char__0(X0)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_Int_Onumber__class_Onumber__of(X2,X0)
% 5.38/5.94 | X1 = X2 ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_19478]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_4356,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.38/5.94 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6873_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_19256,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.38/5.94 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4356]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_19257,plain,
% 5.38/5.94 ( ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Oidom(X0)
% 5.38/5.94 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_19256]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_4353,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.38/5.94 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6872_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_19250,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.38/5.94 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4353]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_19251,plain,
% 5.38/5.94 ( ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Oidom(X0)
% 5.38/5.94 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_19250]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_4281,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.38/5.94 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) != hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)
% 5.38/5.94 | X1 = X2
% 5.38/5.94 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6842_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_19106,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.38/5.94 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) != hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)
% 5.38/5.94 | X1 = X2
% 5.38/5.94 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4281]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_19107,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.38/5.94 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) != hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)
% 5.38/5.94 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | X1 = X2 ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_19106]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_4278,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6841_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_19100,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4278]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_19101,plain,
% 5.38/5.94 ( ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0) ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_19100]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_4269,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 5.38/5.94 | ~ class_Power_Opower(X0)
% 5.38/5.94 | 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) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6838_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_19082,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 5.38/5.94 | ~ class_Power_Opower(X0)
% 5.38/5.94 | 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) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4269]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_19083,plain,
% 5.38/5.94 ( ~ class_Power_Opower(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Osemiring__0(X0)
% 5.38/5.94 | 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) ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_19082]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_4265,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 5.38/5.94 | ~ class_Power_Opower(X0)
% 5.38/5.94 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6837_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_19074,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 5.38/5.94 | ~ class_Power_Opower(X0)
% 5.38/5.94 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4265]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_19075,plain,
% 5.38/5.94 ( ~ class_Power_Opower(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Osemiring__0(X0)
% 5.38/5.94 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_19074]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_4243,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6827_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_19030,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4243]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_19031,plain,
% 5.38/5.94 ( ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_19030]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_4240,plain,
% 5.38/5.94 ( ~ class_Int_Oring__char__0(X0)
% 5.38/5.94 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(X1),X0),X0) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6826_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_19024,plain,
% 5.38/5.94 ( ~ class_Int_Oring__char__0(X0)
% 5.38/5.94 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(X1),X0),X0) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4240]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_19025,plain,
% 5.38/5.94 ( ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(X1),X0),X0)
% 5.38/5.94 | ~ class_Int_Oring__char__0(X0) ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_19024]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_4234,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.38/5.94 | ~ class_Power_Opower(X0)
% 5.38/5.94 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6825_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_19012,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.38/5.94 | ~ class_Power_Opower(X0)
% 5.38/5.94 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4234]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_19013,plain,
% 5.38/5.94 ( ~ class_Power_Opower(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.38/5.94 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_19012]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_4214,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0),X0) = X1 ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6818_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18972,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0),X0) = X1 ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4214]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18973,plain,
% 5.38/5.94 ( ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0),X0) = X1 ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18972]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_4208,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.94 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6816_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18960,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.94 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4208]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18961,plain,
% 5.38/5.94 ( ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.94 | c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18960]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_4204,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.38/5.94 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 5.38/5.94 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6815_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18952,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.38/5.94 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 5.38/5.94 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4204]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18953,plain,
% 5.38/5.94 ( ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Oidom(X0)
% 5.38/5.94 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 5.38/5.94 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18952]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_4193,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 5.38/5.94 | ~ class_Power_Opower(X0)
% 5.38/5.94 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),hAPP(c_Suc,X1)) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6811_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18930,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 5.38/5.94 | ~ class_Power_Opower(X0)
% 5.38/5.94 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),hAPP(c_Suc,X1)) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4193]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18931,plain,
% 5.38/5.94 ( ~ class_Power_Opower(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Osemiring__0(X0)
% 5.38/5.94 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),hAPP(c_Suc,X1)) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18930]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_4166,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.38/5.94 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | X1 = X2 ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6803_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18876,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.38/5.94 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | X1 = X2 ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4166]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18877,plain,
% 5.38/5.94 ( ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Oidom(X0)
% 5.38/5.94 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | X1 = X2 ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18876]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_4162,plain,
% 5.38/5.94 ( X0 = X1
% 5.38/5.94 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.38/5.94 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6801_2) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18868,plain,
% 5.38/5.94 ( X0 = X1
% 5.38/5.94 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.38/5.94 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4162]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18869,plain,
% 5.38/5.94 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.38/5.94 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 5.38/5.94 | X0 = X1 ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18868]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_4102,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.94 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0),X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6779_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18748,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.94 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0),X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4102]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18749,plain,
% 5.38/5.94 ( ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.94 | c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0),X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18748]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_4100,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.94 | X1 = X2
% 5.38/5.94 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.94 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6778_2) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18744,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.94 | X1 = X2
% 5.38/5.94 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.94 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4100]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18745,plain,
% 5.38/5.94 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.38/5.94 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.38/5.94 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 5.38/5.94 | X0 = X1 ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18744]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_4098,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.94 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.94 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.38/5.94 | X2 = X1 ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6778_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18740,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.94 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.94 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.38/5.94 | X2 = X1 ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4098]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18741,plain,
% 5.38/5.94 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.38/5.94 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.38/5.94 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 5.38/5.94 | X1 = X0 ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18740]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_4084,plain,
% 5.38/5.94 ( ~ class_Orderings_Olinorder(X0)
% 5.38/5.94 | X1 = X2
% 5.38/5.94 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.94 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6774_2) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18712,plain,
% 5.38/5.94 ( ~ class_Orderings_Olinorder(X0)
% 5.38/5.94 | X1 = X2
% 5.38/5.94 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.94 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4084]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18713,plain,
% 5.38/5.94 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.38/5.94 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.38/5.94 | ~ class_Orderings_Olinorder(X2)
% 5.38/5.94 | X0 = X1 ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18712]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_4082,plain,
% 5.38/5.94 ( ~ class_Orderings_Olinorder(X0)
% 5.38/5.94 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.94 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.38/5.94 | X2 = X1 ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6774_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18708,plain,
% 5.38/5.94 ( ~ class_Orderings_Olinorder(X0)
% 5.38/5.94 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.94 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.38/5.94 | X2 = X1 ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4082]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18709,plain,
% 5.38/5.94 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.38/5.94 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.38/5.94 | ~ class_Orderings_Olinorder(X2)
% 5.38/5.94 | X1 = X0 ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18708]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_4078,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 5.38/5.94 | ~ class_Power_Opower(X0)
% 5.38/5.94 | 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)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6773_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18700,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 5.38/5.94 | ~ class_Power_Opower(X0)
% 5.38/5.94 | 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)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4078]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18701,plain,
% 5.38/5.94 ( ~ class_Power_Opower(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Osemiring__0(X0)
% 5.38/5.94 | 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)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18700]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_4073,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.38/5.94 | ~ class_Power_Opower(X0)
% 5.38/5.94 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6772_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18690,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.38/5.94 | ~ class_Power_Opower(X0)
% 5.38/5.94 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4073]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18691,plain,
% 5.38/5.94 ( ~ class_Power_Opower(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.38/5.94 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18690]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_4067,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.38/5.94 | ~ class_Power_Opower(X0)
% 5.38/5.94 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6771_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18678,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.38/5.94 | ~ class_Power_Opower(X0)
% 5.38/5.94 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4067]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18679,plain,
% 5.38/5.94 ( ~ class_Power_Opower(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.38/5.94 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18678]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_4050,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.94 | ~ class_Int_Onumber(X0)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6764_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18644,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.94 | ~ class_Int_Onumber(X0)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4050]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18645,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Int_Onumber(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18644]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_4045,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.94 | ~ class_Int_Onumber(X0)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) = c_Int_Onumber__class_Onumber__of(X1,X0) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6763_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18634,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.94 | ~ class_Int_Onumber(X0)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) = c_Int_Onumber__class_Onumber__of(X1,X0) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4045]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18635,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Int_Onumber(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) = c_Int_Onumber__class_Onumber__of(X1,X0) ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18634]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_4014,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 5.38/5.94 | ~ class_Power_Opower(X0)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.38/5.94 | 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) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6751_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18572,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 5.38/5.94 | ~ class_Power_Opower(X0)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.38/5.94 | 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) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4014]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18573,plain,
% 5.38/5.94 ( ~ class_Power_Opower(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Osemiring__0(X0)
% 5.38/5.94 | 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)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18572]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_4010,plain,
% 5.38/5.94 ( ~ class_Int_Oring__char__0(X0)
% 5.38/5.94 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.38/5.94 | c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X0),X0) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6750_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18564,plain,
% 5.38/5.94 ( ~ class_Int_Oring__char__0(X0)
% 5.38/5.94 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.38/5.94 | c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X0),X0) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_4010]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18565,plain,
% 5.38/5.94 ( ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X0),X0)
% 5.38/5.94 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.38/5.94 | ~ class_Int_Oring__char__0(X0) ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18564]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_3986,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.94 | ~ class_Int_Onumber(X0)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6743_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18516,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.94 | ~ class_Int_Onumber(X0)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_3986]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18517,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Int_Onumber(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18516]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_3980,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.38/5.94 | ~ class_Power_Opower(X0)
% 5.38/5.94 | 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)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6742_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18504,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.38/5.94 | ~ class_Power_Opower(X0)
% 5.38/5.94 | 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)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_3980]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18505,plain,
% 5.38/5.94 ( ~ class_Power_Opower(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.38/5.94 | 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)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18504]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_3972,plain,
% 5.38/5.94 ( ~ class_Int_Oring__char__0(X0)
% 5.38/5.94 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X0),X0)
% 5.38/5.94 | c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6739_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18488,plain,
% 5.38/5.94 ( ~ class_Int_Oring__char__0(X0)
% 5.38/5.94 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X0),X0)
% 5.38/5.94 | c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_3972]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18489,plain,
% 5.38/5.94 ( ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X0),X0)
% 5.38/5.94 | c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.38/5.94 | ~ class_Int_Oring__char__0(X0) ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18488]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_3937,plain,
% 5.38/5.94 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.38/5.94 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.94 | c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6725_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18418,plain,
% 5.38/5.94 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.38/5.94 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.94 | c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_3937]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18419,plain,
% 5.38/5.94 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 5.38/5.94 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.94 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18418]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_3908,plain,
% 5.38/5.94 ( ~ class_Orderings_Oorder(X0)
% 5.38/5.94 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.94 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.94 | X2 = X1 ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6715_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18360,plain,
% 5.38/5.94 ( ~ class_Orderings_Oorder(X0)
% 5.38/5.94 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.94 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.94 | X2 = X1 ),
% 5.38/5.94 inference(copy,[status(esa)],[c_3908]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18361,plain,
% 5.38/5.94 ( ~ c_lessequals(X0,X1,X2)
% 5.38/5.94 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.38/5.94 | ~ class_Orderings_Oorder(X2)
% 5.38/5.94 | X1 = X0 ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18360]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_3900,plain,
% 5.38/5.94 ( ~ class_Orderings_Olinorder(X0)
% 5.38/5.94 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.94 | X1 = X2
% 5.38/5.94 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6713_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18344,plain,
% 5.38/5.94 ( ~ class_Orderings_Olinorder(X0)
% 5.38/5.94 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.94 | X1 = X2
% 5.38/5.94 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_3900]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18345,plain,
% 5.38/5.94 ( ~ c_lessequals(X0,X1,X2)
% 5.38/5.94 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.38/5.94 | ~ class_Orderings_Olinorder(X2)
% 5.38/5.94 | X0 = X1 ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18344]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_3884,plain,
% 5.38/5.94 ( ~ class_Orderings_Oorder(X0)
% 5.38/5.94 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.94 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.94 | X1 = X2 ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6709_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18312,plain,
% 5.38/5.94 ( ~ class_Orderings_Oorder(X0)
% 5.38/5.94 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.94 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.94 | X1 = X2 ),
% 5.38/5.94 inference(copy,[status(esa)],[c_3884]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18313,plain,
% 5.38/5.94 ( ~ c_lessequals(X0,X1,X2)
% 5.38/5.94 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.38/5.94 | ~ class_Orderings_Oorder(X2)
% 5.38/5.94 | X0 = X1 ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18312]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_3856,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.94 | ~ class_Int_Onumber(X0)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6698_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18256,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.94 | ~ class_Int_Onumber(X0)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_3856]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18257,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Int_Onumber(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18256]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_3851,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.94 | ~ class_Int_Onumber(X0)
% 5.38/5.94 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) != c_Int_Onumber__class_Onumber__of(X2,X0)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6697_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18246,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.94 | ~ class_Int_Onumber(X0)
% 5.38/5.94 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) != c_Int_Onumber__class_Onumber__of(X2,X0)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_3851]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18247,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Int_Onumber(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.94 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) != c_Int_Onumber__class_Onumber__of(X1,X0) ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18246]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_3848,plain,
% 5.38/5.94 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.38/5.94 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.94 | c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6696_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18240,plain,
% 5.38/5.94 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.38/5.94 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.94 | c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_3848]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18241,plain,
% 5.38/5.94 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 5.38/5.94 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.94 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18240]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_3842,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.38/5.94 | ~ class_Power_Opower(X0)
% 5.38/5.94 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6695_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18228,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.38/5.94 | ~ class_Power_Opower(X0)
% 5.38/5.94 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_3842]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18229,plain,
% 5.38/5.94 ( ~ class_Power_Opower(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.38/5.94 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.94 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18228]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_3835,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6692_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18214,plain,
% 5.38/5.94 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_3835]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18215,plain,
% 5.38/5.94 ( ~ class_Int_Onumber__ring(X0)
% 5.38/5.94 | ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.94 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18214]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_3810,plain,
% 5.38/5.94 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6679_2) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18164,plain,
% 5.38/5.94 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 5.38/5.94 inference(copy,[status(esa)],[c_3810]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18165,plain,
% 5.38/5.94 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X0 = X1 ),
% 5.38/5.94 inference(rewriting,[status(thm)],[c_18164]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_3770,plain,
% 5.38/5.94 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.38/5.94 | c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 5.38/5.94 | hAPP(c_Suc,X0) = X1 ),
% 5.38/5.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6664_0) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18084,plain,
% 5.38/5.94 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.38/5.94 | c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 5.38/5.94 | hAPP(c_Suc,X0) = X1 ),
% 5.38/5.94 inference(copy,[status(esa)],[c_3770]) ).
% 5.38/5.94
% 5.38/5.94 cnf(c_18085,plain,
% 5.38/5.95 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.38/5.95 | hAPP(c_Suc,X0) = X1 ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_18084]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3753,plain,
% 5.38/5.95 ( X0 = X1
% 5.38/5.95 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.38/5.95 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6657_2) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_18050,plain,
% 5.38/5.95 ( X0 = X1
% 5.38/5.95 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.38/5.95 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3753]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_18051,plain,
% 5.38/5.95 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.38/5.95 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.38/5.95 | X0 = X1 ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_18050]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3745,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.38/5.95 | ~ class_Power_Opower(X0)
% 5.38/5.95 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.38/5.95 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) != c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6656_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_18034,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.38/5.95 | ~ class_Power_Opower(X0)
% 5.38/5.95 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.38/5.95 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) != c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3745]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_18035,plain,
% 5.38/5.95 ( ~ class_Power_Opower(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.38/5.95 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.95 | c_Int_Onumber__class_Onumber__of(X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_18034]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3713,plain,
% 5.38/5.95 ( ~ class_Orderings_Olinorder(X0)
% 5.38/5.95 | ~ c_lessequals(X1,X1,X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6646_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17970,plain,
% 5.38/5.95 ( ~ class_Orderings_Olinorder(X0)
% 5.38/5.95 | ~ c_lessequals(X1,X1,X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3713]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17971,plain,
% 5.38/5.95 ( ~ c_lessequals(X0,X0,X1)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 5.38/5.95 | ~ class_Orderings_Olinorder(X1) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17970]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3710,plain,
% 5.38/5.95 ( ~ class_Orderings_Opreorder(X0)
% 5.38/5.95 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6645_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17964,plain,
% 5.38/5.95 ( ~ class_Orderings_Opreorder(X0)
% 5.38/5.95 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3710]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17965,plain,
% 5.38/5.95 ( ~ c_lessequals(X0,X1,X2)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.38/5.95 | ~ class_Orderings_Opreorder(X2) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17964]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3704,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.38/5.95 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.95 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 5.38/5.95 | X2 = X3 ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6643_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17952,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.38/5.95 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.95 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 5.38/5.95 | X2 = X3 ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3704]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17953,plain,
% 5.38/5.95 ( ~ class_Int_Onumber__ring(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Oidom(X0)
% 5.38/5.95 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 5.38/5.95 | X2 = X3 ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17952]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3690,plain,
% 5.38/5.95 ( ~ class_RealVector_Ometric__space(X0)
% 5.38/5.95 | X1 = X2
% 5.38/5.95 | ~ c_SEQ_OLIMSEQ(X3,X1,X0)
% 5.38/5.95 | ~ c_SEQ_OLIMSEQ(X3,X2,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6638_2) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17924,plain,
% 5.38/5.95 ( ~ class_RealVector_Ometric__space(X0)
% 5.38/5.95 | X1 = X2
% 5.38/5.95 | ~ c_SEQ_OLIMSEQ(X3,X1,X0)
% 5.38/5.95 | ~ c_SEQ_OLIMSEQ(X3,X2,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3690]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17925,plain,
% 5.38/5.95 ( ~ c_SEQ_OLIMSEQ(X0,X1,X2)
% 5.38/5.95 | ~ c_SEQ_OLIMSEQ(X0,X3,X2)
% 5.38/5.95 | ~ class_RealVector_Ometric__space(X2)
% 5.38/5.95 | X1 = X3 ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17924]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3688,plain,
% 5.38/5.95 ( ~ class_RealVector_Ometric__space(X0)
% 5.38/5.95 | ~ c_SEQ_OLIMSEQ(X1,X2,X0)
% 5.38/5.95 | ~ c_SEQ_OLIMSEQ(X1,X3,X0)
% 5.38/5.95 | X3 = X2 ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6638_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17920,plain,
% 5.38/5.95 ( ~ class_RealVector_Ometric__space(X0)
% 5.38/5.95 | ~ c_SEQ_OLIMSEQ(X1,X2,X0)
% 5.38/5.95 | ~ c_SEQ_OLIMSEQ(X1,X3,X0)
% 5.38/5.95 | X3 = X2 ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3688]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17921,plain,
% 5.38/5.95 ( ~ c_SEQ_OLIMSEQ(X0,X1,X2)
% 5.38/5.95 | ~ c_SEQ_OLIMSEQ(X0,X3,X2)
% 5.38/5.95 | ~ class_RealVector_Ometric__space(X2)
% 5.38/5.95 | X3 = X1 ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17920]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3682,plain,
% 5.38/5.95 ( ~ class_Orderings_Oorder(X0)
% 5.38/5.95 | X1 = X2
% 5.38/5.95 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.95 | ~ c_lessequals(X2,X1,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6636_2) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17908,plain,
% 5.38/5.95 ( ~ class_Orderings_Oorder(X0)
% 5.38/5.95 | X1 = X2
% 5.38/5.95 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.95 | ~ c_lessequals(X2,X1,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3682]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17909,plain,
% 5.38/5.95 ( ~ c_lessequals(X0,X1,X2)
% 5.38/5.95 | ~ c_lessequals(X1,X0,X2)
% 5.38/5.95 | ~ class_Orderings_Oorder(X2)
% 5.38/5.95 | X0 = X1 ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17908]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3680,plain,
% 5.38/5.95 ( ~ class_Orderings_Oorder(X0)
% 5.38/5.95 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.95 | ~ c_lessequals(X2,X1,X0)
% 5.38/5.95 | X2 = X1 ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6636_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17904,plain,
% 5.38/5.95 ( ~ class_Orderings_Oorder(X0)
% 5.38/5.95 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.95 | ~ c_lessequals(X2,X1,X0)
% 5.38/5.95 | X2 = X1 ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3680]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17905,plain,
% 5.38/5.95 ( ~ c_lessequals(X0,X1,X2)
% 5.38/5.95 | ~ c_lessequals(X1,X0,X2)
% 5.38/5.95 | ~ class_Orderings_Oorder(X2)
% 5.38/5.95 | X1 = X0 ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17904]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3669,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 5.38/5.95 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.95 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0))),X1) = c_HOL_Oone__class_Oone(X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6631_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17882,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 5.38/5.95 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.95 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0))),X1) = c_HOL_Oone__class_Oone(X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3669]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17883,plain,
% 5.38/5.95 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.38/5.95 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 5.38/5.95 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Oone__class_Oone(X1))),X0) = c_HOL_Oone__class_Oone(X1) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17882]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3655,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.95 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.95 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6626_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17854,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.95 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.95 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3655]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17855,plain,
% 5.38/5.95 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.95 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17854]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3653,plain,
% 5.38/5.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.38/5.95 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 5.38/5.95 | X2 = X1
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6625_2) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17850,plain,
% 5.38/5.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.38/5.95 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 5.38/5.95 | X2 = X1
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3653]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17851,plain,
% 5.38/5.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.38/5.95 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 5.38/5.95 | X2 = X1 ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17850]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3607,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.95 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0)
% 5.38/5.95 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6611_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17758,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.95 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0)
% 5.38/5.95 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3607]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17759,plain,
% 5.38/5.95 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.95 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 5.38/5.95 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17758]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3600,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.38/5.95 | ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.38/5.95 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.95 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6609_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17744,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.38/5.95 | ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.38/5.95 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.95 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3600]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17745,plain,
% 5.38/5.95 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.38/5.95 | ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.38/5.95 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17744]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3597,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 5.38/5.95 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0))),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0))
% 5.38/5.95 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6608_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17738,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 5.38/5.95 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0))),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0))
% 5.38/5.95 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3597]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17739,plain,
% 5.38/5.95 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.38/5.95 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 5.38/5.95 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Oone__class_Oone(X1))),X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Oone__class_Oone(X1)) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17738]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3566,plain,
% 5.38/5.95 ( ~ class_Orderings_Opreorder(X0)
% 5.38/5.95 | c_lessequals(X1,X2,X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.38/5.95 | ~ c_lessequals(X2,X1,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6597_2) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17676,plain,
% 5.38/5.95 ( ~ class_Orderings_Opreorder(X0)
% 5.38/5.95 | c_lessequals(X1,X2,X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.38/5.95 | ~ c_lessequals(X2,X1,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3566]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17677,plain,
% 5.38/5.95 ( c_lessequals(X0,X1,X2)
% 5.38/5.95 | ~ c_lessequals(X1,X0,X2)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.38/5.95 | ~ class_Orderings_Opreorder(X2) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17676]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3564,plain,
% 5.38/5.95 ( ~ class_Orderings_Opreorder(X0)
% 5.38/5.95 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.95 | c_lessequals(X2,X1,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6597_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17672,plain,
% 5.38/5.95 ( ~ class_Orderings_Opreorder(X0)
% 5.38/5.95 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.95 | c_lessequals(X2,X1,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3564]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17673,plain,
% 5.38/5.95 ( ~ c_lessequals(X0,X1,X2)
% 5.38/5.95 | c_lessequals(X1,X0,X2)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.38/5.95 | ~ class_Orderings_Opreorder(X2) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17672]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3555,plain,
% 5.38/5.95 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 5.38/5.95 | ~ c_lessequals(X1,X0,tc_nat)
% 5.38/5.95 | X0 = X1 ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6593_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17654,plain,
% 5.38/5.95 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 5.38/5.95 | ~ c_lessequals(X1,X0,tc_nat)
% 5.38/5.95 | X0 = X1 ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3555]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17655,plain,
% 5.38/5.95 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_Suc,X0),tc_nat)
% 5.38/5.95 | X1 = X0 ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17654]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3550,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 5.38/5.95 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.95 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6591_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17644,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 5.38/5.95 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.95 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3550]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17645,plain,
% 5.38/5.95 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.38/5.95 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 5.38/5.95 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X0) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17644]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3514,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.95 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Oone__class_Oone(X0),X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6581_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17572,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.95 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Oone__class_Oone(X0),X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3514]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17573,plain,
% 5.38/5.95 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.38/5.95 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0),c_HOL_Oone__class_Oone(X1),X1)
% 5.38/5.95 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.38/5.95 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17572]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3503,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6576_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17550,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3503]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17551,plain,
% 5.38/5.95 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.38/5.95 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17550]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3500,plain,
% 5.38/5.95 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 5.38/5.95 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X1,X0)
% 5.38/5.95 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6575_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17544,plain,
% 5.38/5.95 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 5.38/5.95 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X1,X0)
% 5.38/5.95 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3500]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17545,plain,
% 5.38/5.95 ( ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X1,X0)
% 5.38/5.95 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.95 | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17544]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3497,plain,
% 5.38/5.95 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 5.38/5.95 | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0)
% 5.38/5.95 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6574_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17538,plain,
% 5.38/5.95 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 5.38/5.95 | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0)
% 5.38/5.95 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3497]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17539,plain,
% 5.38/5.95 ( ~ c_lessequals(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 5.38/5.95 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.38/5.95 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17538]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3494,plain,
% 5.38/5.95 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.38/5.95 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X1,X0)
% 5.38/5.95 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6573_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17532,plain,
% 5.38/5.95 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.38/5.95 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X1,X0)
% 5.38/5.95 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3494]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17533,plain,
% 5.38/5.95 ( ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X1,X0)
% 5.38/5.95 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.95 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17532]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3491,plain,
% 5.38/5.95 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.38/5.95 | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0)
% 5.38/5.95 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6572_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17526,plain,
% 5.38/5.95 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.38/5.95 | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0)
% 5.38/5.95 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3491]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17527,plain,
% 5.38/5.95 ( ~ c_lessequals(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 5.38/5.95 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.38/5.95 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17526]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3483,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.95 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.95 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.38/5.95 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6569_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17510,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.95 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.95 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.38/5.95 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3483]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17511,plain,
% 5.38/5.95 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.95 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.95 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17510]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3469,plain,
% 5.38/5.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6563_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17482,plain,
% 5.38/5.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3469]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17483,plain,
% 5.38/5.95 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.95 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17482]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3466,plain,
% 5.38/5.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0)
% 5.38/5.95 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6562_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17476,plain,
% 5.38/5.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0)
% 5.38/5.95 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3466]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17477,plain,
% 5.38/5.95 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0)
% 5.38/5.95 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.95 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17476]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3463,plain,
% 5.38/5.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6561_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17470,plain,
% 5.38/5.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3463]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17471,plain,
% 5.38/5.95 ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.95 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17470]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3460,plain,
% 5.38/5.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.95 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.95 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6560_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17464,plain,
% 5.38/5.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.95 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.95 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3460]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17465,plain,
% 5.38/5.95 ( ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.95 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.95 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17464]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3419,plain,
% 5.38/5.95 ( ~ class_Orderings_Olinorder(X0)
% 5.38/5.95 | ~ class_Int_Onumber(X0)
% 5.38/5.95 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6542_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17382,plain,
% 5.38/5.95 ( ~ class_Orderings_Olinorder(X0)
% 5.38/5.95 | ~ class_Int_Onumber(X0)
% 5.38/5.95 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3419]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17383,plain,
% 5.38/5.95 ( c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 5.38/5.95 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 5.38/5.95 | ~ class_Int_Onumber(X1)
% 5.38/5.95 | ~ class_Orderings_Olinorder(X1) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17382]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3416,plain,
% 5.38/5.95 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.38/5.95 | c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6541_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17376,plain,
% 5.38/5.95 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.38/5.95 | c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3416]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17377,plain,
% 5.38/5.95 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 5.38/5.95 | c_Divides_Odiv__class_Odiv(X1,X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17376]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3412,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.95 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6540_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17368,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.95 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3412]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17369,plain,
% 5.38/5.95 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.95 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17368]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3408,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.95 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6539_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17360,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.95 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3408]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17361,plain,
% 5.38/5.95 ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.95 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17360]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3404,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6538_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17352,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3404]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17353,plain,
% 5.38/5.95 ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17352]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3400,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.95 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.38/5.95 | c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6537_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17344,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.95 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.38/5.95 | c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3400]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17345,plain,
% 5.38/5.95 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.38/5.95 | c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17344]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3396,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.38/5.95 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6536_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17336,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.95 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.38/5.95 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3396]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17337,plain,
% 5.38/5.95 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.38/5.95 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17336]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3392,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6535_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17328,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3392]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17329,plain,
% 5.38/5.95 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17328]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3388,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.95 | ~ c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.95 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6534_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17320,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.95 | ~ c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.95 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3388]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17321,plain,
% 5.38/5.95 ( ~ c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.95 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17320]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3384,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.95 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6533_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17312,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.95 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3384]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17313,plain,
% 5.38/5.95 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17312]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3380,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6532_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17304,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3380]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17305,plain,
% 5.38/5.95 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17304]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3360,plain,
% 5.38/5.95 ( ~ class_Orderings_Oorder(X0)
% 5.38/5.95 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.95 | c_lessequals(X1,X3,X0)
% 5.38/5.95 | ~ c_lessequals(X2,X3,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6525_1) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17264,plain,
% 5.38/5.95 ( ~ class_Orderings_Oorder(X0)
% 5.38/5.95 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.95 | c_lessequals(X1,X3,X0)
% 5.38/5.95 | ~ c_lessequals(X2,X3,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3360]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17265,plain,
% 5.38/5.95 ( ~ c_lessequals(X0,X1,X2)
% 5.38/5.95 | c_lessequals(X0,X3,X2)
% 5.38/5.95 | ~ c_lessequals(X1,X3,X2)
% 5.38/5.95 | ~ class_Orderings_Oorder(X2) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17264]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3359,plain,
% 5.38/5.95 ( ~ class_Orderings_Oorder(X0)
% 5.38/5.95 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.95 | ~ c_lessequals(X2,X3,X0)
% 5.38/5.95 | c_lessequals(X1,X3,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6525_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17262,plain,
% 5.38/5.95 ( ~ class_Orderings_Oorder(X0)
% 5.38/5.95 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.95 | ~ c_lessequals(X2,X3,X0)
% 5.38/5.95 | c_lessequals(X1,X3,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3359]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17263,plain,
% 5.38/5.95 ( ~ c_lessequals(X0,X1,X2)
% 5.38/5.95 | ~ c_lessequals(X1,X3,X2)
% 5.38/5.95 | c_lessequals(X0,X3,X2)
% 5.38/5.95 | ~ class_Orderings_Oorder(X2) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17262]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3356,plain,
% 5.38/5.95 ( ~ class_Orderings_Oorder(X0)
% 5.38/5.95 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6524_1) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17256,plain,
% 5.38/5.95 ( ~ class_Orderings_Oorder(X0)
% 5.38/5.95 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3356]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17257,plain,
% 5.38/5.95 ( ~ c_lessequals(X0,X1,X2)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.38/5.95 | ~ class_Orderings_Oorder(X2) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17256]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3355,plain,
% 5.38/5.95 ( ~ class_Orderings_Oorder(X0)
% 5.38/5.95 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6524_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17254,plain,
% 5.38/5.95 ( ~ class_Orderings_Oorder(X0)
% 5.38/5.95 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3355]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17255,plain,
% 5.38/5.95 ( ~ c_lessequals(X0,X1,X2)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.38/5.95 | ~ class_Orderings_Oorder(X2) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17254]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3353,plain,
% 5.38/5.95 ( ~ class_Orderings_Oorder(X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.95 | ~ c_lessequals(X3,X2,X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6523_2) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17250,plain,
% 5.38/5.95 ( ~ class_Orderings_Oorder(X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.95 | ~ c_lessequals(X3,X2,X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3353]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17251,plain,
% 5.38/5.95 ( ~ c_lessequals(X0,X1,X2)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 5.38/5.95 | ~ class_Orderings_Oorder(X2) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17250]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3351,plain,
% 5.38/5.95 ( ~ class_Orderings_Oorder(X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.95 | ~ c_lessequals(X2,X3,X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6523_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17246,plain,
% 5.38/5.95 ( ~ class_Orderings_Oorder(X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.95 | ~ c_lessequals(X2,X3,X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3351]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17247,plain,
% 5.38/5.95 ( ~ c_lessequals(X0,X1,X2)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.38/5.95 | ~ class_Orderings_Oorder(X2) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17246]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3348,plain,
% 5.38/5.95 ( ~ class_Orderings_Opreorder(X0)
% 5.38/5.95 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.95 | c_lessequals(X3,X2,X0)
% 5.38/5.95 | ~ c_lessequals(X3,X1,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6522_1) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17240,plain,
% 5.38/5.95 ( ~ class_Orderings_Opreorder(X0)
% 5.38/5.95 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.95 | c_lessequals(X3,X2,X0)
% 5.38/5.95 | ~ c_lessequals(X3,X1,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3348]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17241,plain,
% 5.38/5.95 ( ~ c_lessequals(X0,X1,X2)
% 5.38/5.95 | c_lessequals(X3,X1,X2)
% 5.38/5.95 | ~ c_lessequals(X3,X0,X2)
% 5.38/5.95 | ~ class_Orderings_Opreorder(X2) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17240]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3347,plain,
% 5.38/5.95 ( ~ class_Orderings_Opreorder(X0)
% 5.38/5.95 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.95 | ~ c_lessequals(X3,X1,X0)
% 5.38/5.95 | c_lessequals(X3,X2,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6522_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17238,plain,
% 5.38/5.95 ( ~ class_Orderings_Opreorder(X0)
% 5.38/5.95 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.95 | ~ c_lessequals(X3,X1,X0)
% 5.38/5.95 | c_lessequals(X3,X2,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3347]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17239,plain,
% 5.38/5.95 ( ~ c_lessequals(X0,X1,X2)
% 5.38/5.95 | ~ c_lessequals(X3,X0,X2)
% 5.38/5.95 | c_lessequals(X3,X1,X2)
% 5.38/5.95 | ~ class_Orderings_Opreorder(X2) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17238]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3344,plain,
% 5.38/5.95 ( ~ class_Orderings_Opreorder(X0)
% 5.38/5.95 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6521_1) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17232,plain,
% 5.38/5.95 ( ~ class_Orderings_Opreorder(X0)
% 5.38/5.95 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3344]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17233,plain,
% 5.38/5.95 ( ~ c_lessequals(X0,X1,X2)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 5.38/5.95 | ~ class_Orderings_Opreorder(X2) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17232]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3343,plain,
% 5.38/5.95 ( ~ class_Orderings_Opreorder(X0)
% 5.38/5.95 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6521_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17230,plain,
% 5.38/5.95 ( ~ class_Orderings_Opreorder(X0)
% 5.38/5.95 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3343]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17231,plain,
% 5.38/5.95 ( ~ c_lessequals(X0,X1,X2)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.38/5.95 | ~ class_Orderings_Opreorder(X2) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17230]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3341,plain,
% 5.38/5.95 ( ~ class_Orderings_Opreorder(X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.95 | ~ c_lessequals(X1,X3,X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6520_2) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17226,plain,
% 5.38/5.95 ( ~ class_Orderings_Opreorder(X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.95 | ~ c_lessequals(X1,X3,X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3341]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17227,plain,
% 5.38/5.95 ( ~ c_lessequals(X0,X1,X2)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.38/5.95 | ~ class_Orderings_Opreorder(X2) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17226]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3339,plain,
% 5.38/5.95 ( ~ class_Orderings_Opreorder(X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.95 | ~ c_lessequals(X3,X1,X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6520_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17222,plain,
% 5.38/5.95 ( ~ class_Orderings_Opreorder(X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.95 | ~ c_lessequals(X3,X1,X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3339]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17223,plain,
% 5.38/5.95 ( ~ c_lessequals(X0,X1,X2)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.38/5.95 | ~ class_Orderings_Opreorder(X2) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17222]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3336,plain,
% 5.38/5.95 ( ~ class_Orderings_Opreorder(X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6519_1) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17216,plain,
% 5.38/5.95 ( ~ class_Orderings_Opreorder(X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3336]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17217,plain,
% 5.38/5.95 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 5.38/5.95 | ~ class_Orderings_Opreorder(X2) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17216]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3335,plain,
% 5.38/5.95 ( ~ class_Orderings_Opreorder(X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6519_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17214,plain,
% 5.38/5.95 ( ~ class_Orderings_Opreorder(X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3335]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17215,plain,
% 5.38/5.95 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.38/5.95 | ~ class_Orderings_Opreorder(X2) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17214]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3332,plain,
% 5.38/5.95 ( ~ class_Orderings_Oorder(X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6518_1) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17208,plain,
% 5.38/5.95 ( ~ class_Orderings_Oorder(X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3332]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17209,plain,
% 5.38/5.95 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.38/5.95 | ~ class_Orderings_Oorder(X2) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17208]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3331,plain,
% 5.38/5.95 ( ~ class_Orderings_Oorder(X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6518_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17206,plain,
% 5.38/5.95 ( ~ class_Orderings_Oorder(X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3331]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17207,plain,
% 5.38/5.95 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.38/5.95 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.38/5.95 | ~ class_Orderings_Oorder(X2) ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17206]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3322,plain,
% 5.38/5.95 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.38/5.95 | X1 = X2 ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6514_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17188,plain,
% 5.38/5.95 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)
% 5.38/5.95 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.38/5.95 | X1 = X2 ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3322]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17189,plain,
% 5.38/5.95 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.38/5.95 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)
% 5.38/5.95 | X1 = X2 ),
% 5.38/5.95 inference(rewriting,[status(thm)],[c_17188]) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_3310,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.95 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.95 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0)) = c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0),X1,X0) ),
% 5.38/5.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6509_0) ).
% 5.38/5.95
% 5.38/5.95 cnf(c_17164,plain,
% 5.38/5.95 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.95 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.95 | ~ class_Int_Onumber__ring(X0)
% 5.38/5.95 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0)) = c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0),X1,X0) ),
% 5.38/5.95 inference(copy,[status(esa)],[c_3310]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_17165,plain,
% 5.38/5.96 ( ~ class_Int_Onumber__ring(X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.96 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0)) = c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0),X1,X0) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_17164]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3300,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.96 | ~ class_Int_Onumber(X0)
% 5.38/5.96 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Oinverse__class_Odivide(X2,X3,X0)
% 5.38/5.96 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3) = X2
% 5.38/5.96 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6506_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_17144,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.96 | ~ class_Int_Onumber(X0)
% 5.38/5.96 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Oinverse__class_Odivide(X2,X3,X0)
% 5.38/5.96 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3) = X2
% 5.38/5.96 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3300]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_17145,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.96 | ~ class_Int_Onumber(X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.96 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2) = X3
% 5.38/5.96 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_17144]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3294,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.96 | ~ class_Int_Onumber(X0)
% 5.38/5.96 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_Int_Onumber__class_Onumber__of(X3,X0)
% 5.38/5.96 | X1 = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X2)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6505_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_17132,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.96 | ~ class_Int_Onumber(X0)
% 5.38/5.96 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_Int_Onumber__class_Onumber__of(X3,X0)
% 5.38/5.96 | X1 = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X2)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3294]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_17133,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.96 | ~ class_Int_Onumber(X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.96 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_Int_Onumber__class_Onumber__of(X3,X0)
% 5.38/5.96 | X1 = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X2)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_17132]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3291,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.38/5.96 | 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) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6504_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_17126,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.38/5.96 | 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) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3291]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_17127,plain,
% 5.38/5.96 ( 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)
% 5.38/5.96 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | c_Int_Onumber__class_Onumber__of(X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_17126]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3284,plain,
% 5.38/5.96 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 5.38/5.96 | c_HOL_Oord__class_Oless(hAPP(c_Suc,X2),X1,tc_nat) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6501_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_17112,plain,
% 5.38/5.96 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 5.38/5.96 | c_HOL_Oord__class_Oless(hAPP(c_Suc,X2),X1,tc_nat) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3284]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_17113,plain,
% 5.38/5.96 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_17112]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3272,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.96 | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 5.38/5.96 | c_lessequals(X2,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6496_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_17088,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.96 | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 5.38/5.96 | c_lessequals(X2,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3272]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_17089,plain,
% 5.38/5.96 ( ~ c_lessequals(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)
% 5.38/5.96 | c_lessequals(X2,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 5.38/5.96 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_17088]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3266,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.96 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0)
% 5.38/5.96 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X1,X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6494_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_17076,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.96 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0)
% 5.38/5.96 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X1,X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3266]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_17077,plain,
% 5.38/5.96 ( ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0)
% 5.38/5.96 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X1,X0)
% 5.38/5.96 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_17076]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3260,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 5.38/5.96 | c_HOL_Oord__class_Oless(X2,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6492_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_17064,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 5.38/5.96 | c_HOL_Oord__class_Oless(X2,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3260]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_17065,plain,
% 5.38/5.96 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)
% 5.38/5.96 | c_HOL_Oord__class_Oless(X2,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 5.38/5.96 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_17064]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3254,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0)
% 5.38/5.96 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X1,X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6490_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_17052,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0)
% 5.38/5.96 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X1,X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3254]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_17053,plain,
% 5.38/5.96 ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0)
% 5.38/5.96 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X1,X0)
% 5.38/5.96 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_17052]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3192,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.96 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 5.38/5.96 | c_lessequals(X2,X1,X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6466_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16928,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.96 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 5.38/5.96 | c_lessequals(X2,X1,X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3192]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16929,plain,
% 5.38/5.96 ( ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 5.38/5.96 | c_lessequals(X2,X1,X0)
% 5.38/5.96 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16928]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3189,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 5.38/5.96 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6465_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16922,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 5.38/5.96 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3189]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16923,plain,
% 5.38/5.96 ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 5.38/5.96 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.38/5.96 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16922]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3185,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.38/5.96 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.38/5.96 | X2 = X3 ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6464_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16914,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.38/5.96 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.38/5.96 | X2 = X3 ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3185]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16915,plain,
% 5.38/5.96 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.38/5.96 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 5.38/5.96 | X2 = X3 ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16914]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3184,plain,
% 5.38/5.96 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.38/5.96 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6463_3) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16912,plain,
% 5.38/5.96 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.38/5.96 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3184]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16913,plain,
% 5.38/5.96 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 5.38/5.96 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16912]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3181,plain,
% 5.38/5.96 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 5.38/5.96 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.96 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6463_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16906,plain,
% 5.38/5.96 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 5.38/5.96 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.96 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3181]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16907,plain,
% 5.38/5.96 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.38/5.96 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16906]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3180,plain,
% 5.38/5.96 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.38/5.96 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6462_3) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16904,plain,
% 5.38/5.96 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.38/5.96 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3180]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16905,plain,
% 5.38/5.96 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 5.38/5.96 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16904]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3177,plain,
% 5.38/5.96 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 5.38/5.96 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.96 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6462_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16898,plain,
% 5.38/5.96 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 5.38/5.96 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.96 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3177]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16899,plain,
% 5.38/5.96 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.96 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16898]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3174,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | 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)
% 5.38/5.96 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6461_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16892,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | 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)
% 5.38/5.96 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3174]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16893,plain,
% 5.38/5.96 ( 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)
% 5.38/5.96 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16892]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3171,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 5.38/5.96 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.38/5.96 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6460_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16886,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 5.38/5.96 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.38/5.96 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3171]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16887,plain,
% 5.38/5.96 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.38/5.96 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 5.38/5.96 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X0)) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16886]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3168,plain,
% 5.38/5.96 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.38/5.96 | c_HOL_Oord__class_Oless(c_Fact_Ofact__class_Ofact(X0,tc_nat),c_Fact_Ofact__class_Ofact(X1,tc_nat),tc_nat) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6459_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16880,plain,
% 5.38/5.96 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.38/5.96 | c_HOL_Oord__class_Oless(c_Fact_Ofact__class_Ofact(X0,tc_nat),c_Fact_Ofact__class_Ofact(X1,tc_nat),tc_nat) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3168]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16881,plain,
% 5.38/5.96 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.38/5.96 | c_HOL_Oord__class_Oless(c_Fact_Ofact__class_Ofact(X0,tc_nat),c_Fact_Ofact__class_Ofact(X1,tc_nat),tc_nat)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16880]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3165,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 5.38/5.96 | c_lessequals(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) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6458_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16874,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 5.38/5.96 | c_lessequals(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) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3165]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16875,plain,
% 5.38/5.96 ( c_lessequals(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)
% 5.38/5.96 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16874]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3148,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.96 | ~ class_Int_Onumber(X0)
% 5.38/5.96 | 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
% 5.38/5.96 | c_Int_Onumber__class_Onumber__of(X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6453_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16840,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.96 | ~ class_Int_Onumber(X0)
% 5.38/5.96 | 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
% 5.38/5.96 | c_Int_Onumber__class_Onumber__of(X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3148]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16841,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.96 | ~ class_Int_Onumber(X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.96 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | 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 ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16840]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3142,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 5.38/5.96 | 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)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6451_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16828,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 5.38/5.96 | 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)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3142]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16829,plain,
% 5.38/5.96 ( 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)
% 5.38/5.96 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 5.38/5.96 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16828]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3124,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 5.38/5.96 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6445_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16792,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 5.38/5.96 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3124]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16793,plain,
% 5.38/5.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16792]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3120,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.96 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.96 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6444_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16784,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.96 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.96 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3120]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16785,plain,
% 5.38/5.96 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16784]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3117,plain,
% 5.38/5.96 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 5.38/5.96 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6443_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16778,plain,
% 5.38/5.96 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 5.38/5.96 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3117]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16779,plain,
% 5.38/5.96 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.38/5.96 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 5.38/5.96 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16778]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3110,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.96 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.96 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6441_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16764,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.96 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.96 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3110]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16765,plain,
% 5.38/5.96 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.96 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16764]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3107,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6440_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16758,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3107]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16759,plain,
% 5.38/5.96 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16758]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3099,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.96 | ~ class_Int_Onumber(X0)
% 5.38/5.96 | 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) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6438_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16742,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.96 | ~ class_Int_Onumber(X0)
% 5.38/5.96 | 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) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3099]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16743,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.96 | ~ class_Int_Onumber(X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.96 | 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) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16742]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3083,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.96 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6433_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16710,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.96 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3083]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16711,plain,
% 5.38/5.96 ( ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 5.38/5.96 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16710]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3054,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.96 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6424_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16652,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.96 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3054]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16653,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.96 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 5.38/5.96 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16652]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3047,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Oone__class_Oone(X0),X0)
% 5.38/5.96 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.38/5.96 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6422_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16638,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Oone__class_Oone(X0),X0)
% 5.38/5.96 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.38/5.96 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3047]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16639,plain,
% 5.38/5.96 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0),c_HOL_Oone__class_Oone(X1),X1)
% 5.38/5.96 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X0,X1)
% 5.38/5.96 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.38/5.96 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16638]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3042,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.96 | ~ c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Oone__class_Oone(X0),X0)
% 5.38/5.96 | c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.38/5.96 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6421_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16628,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.96 | ~ c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Oone__class_Oone(X0),X0)
% 5.38/5.96 | c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.38/5.96 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3042]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16629,plain,
% 5.38/5.96 ( ~ c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Oone__class_Oone(X0),X0)
% 5.38/5.96 | c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.38/5.96 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16628]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3038,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.38/5.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.96 | 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) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6420_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16620,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.38/5.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.96 | 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) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3038]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16621,plain,
% 5.38/5.96 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.96 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.38/5.96 | 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) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16620]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3035,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.38/5.96 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6419_2) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16614,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.38/5.96 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3035]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16615,plain,
% 5.38/5.96 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.38/5.96 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.38/5.96 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16614]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3033,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.38/5.96 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.38/5.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.96 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6419_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16610,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.38/5.96 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.38/5.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.96 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3033]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16611,plain,
% 5.38/5.96 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.38/5.96 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.38/5.96 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16610]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3030,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.38/5.96 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6418_2) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16604,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.38/5.96 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3030]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16605,plain,
% 5.38/5.96 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.38/5.96 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.38/5.96 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16604]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3028,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.38/5.96 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.38/5.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6418_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16600,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.38/5.96 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.38/5.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3028]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16601,plain,
% 5.38/5.96 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.38/5.96 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.38/5.96 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16600]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3023,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.96 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 5.38/5.96 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6416_2) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16590,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.96 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 5.38/5.96 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3023]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16591,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.96 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 5.38/5.96 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 5.38/5.96 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16590]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3021,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.96 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 5.38/5.96 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6416_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16586,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.96 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 5.38/5.96 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3021]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16587,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.96 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 5.38/5.96 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.96 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16586]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_3002,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.96 | ~ class_Int_Onumber(X0)
% 5.38/5.96 | 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)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6410_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16548,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.96 | ~ class_Int_Onumber(X0)
% 5.38/5.96 | 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)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_3002]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16549,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.96 | ~ class_Int_Onumber(X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.96 | 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)
% 5.38/5.96 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16548]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_2999,plain,
% 5.38/5.96 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6409_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16542,plain,
% 5.38/5.96 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_2999]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16543,plain,
% 5.38/5.96 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16542]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_2981,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.96 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6403_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16506,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.96 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_2981]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16507,plain,
% 5.38/5.96 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.96 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16506]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_2976,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.96 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.96 | c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6402_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16496,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.96 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.96 | c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_2976]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16497,plain,
% 5.38/5.96 ( c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.38/5.96 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.38/5.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16496]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_2955,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 5.38/5.96 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.38/5.96 | c_lessequals(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),X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6394_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16454,plain,
% 5.38/5.96 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 5.38/5.96 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.38/5.96 | c_lessequals(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),X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_2955]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16455,plain,
% 5.38/5.96 ( c_lessequals(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),X0)
% 5.38/5.96 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.96 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 5.38/5.96 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16454]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_2913,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.96 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.38/5.96 | c_lessequals(X4,X3,X0)
% 5.38/5.96 | ~ c_lessequals(X2,X1,X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6374_1) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16370,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.96 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.38/5.96 | c_lessequals(X4,X3,X0)
% 5.38/5.96 | ~ c_lessequals(X2,X1,X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_2913]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16371,plain,
% 5.38/5.96 ( c_lessequals(X0,X1,X2)
% 5.38/5.96 | ~ c_lessequals(X3,X4,X2)
% 5.38/5.96 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 5.38/5.96 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16370]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_2912,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.96 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.38/5.96 | ~ c_lessequals(X2,X1,X0)
% 5.38/5.96 | c_lessequals(X4,X3,X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6374_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16368,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.96 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.38/5.96 | ~ c_lessequals(X2,X1,X0)
% 5.38/5.96 | c_lessequals(X4,X3,X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_2912]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16369,plain,
% 5.38/5.96 ( ~ c_lessequals(X0,X1,X2)
% 5.38/5.96 | c_lessequals(X3,X4,X2)
% 5.38/5.96 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 5.38/5.96 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16368]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_2909,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.96 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.38/5.96 | c_lessequals(X2,X1,X0)
% 5.38/5.96 | ~ c_lessequals(X4,X3,X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6373_1) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16362,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.96 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.38/5.96 | c_lessequals(X2,X1,X0)
% 5.38/5.96 | ~ c_lessequals(X4,X3,X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_2909]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16363,plain,
% 5.38/5.96 ( c_lessequals(X0,X1,X2)
% 5.38/5.96 | ~ c_lessequals(X3,X4,X2)
% 5.38/5.96 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 5.38/5.96 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 5.38/5.96 inference(rewriting,[status(thm)],[c_16362]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_2908,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.96 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.38/5.96 | ~ c_lessequals(X4,X3,X0)
% 5.38/5.96 | c_lessequals(X2,X1,X0) ),
% 5.38/5.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6373_0) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16360,plain,
% 5.38/5.96 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.96 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.38/5.96 | ~ c_lessequals(X4,X3,X0)
% 5.38/5.96 | c_lessequals(X2,X1,X0) ),
% 5.38/5.96 inference(copy,[status(esa)],[c_2908]) ).
% 5.38/5.96
% 5.38/5.96 cnf(c_16361,plain,
% 5.38/5.96 ( ~ c_lessequals(X0,X1,X2)
% 5.38/5.96 | c_lessequals(X3,X4,X2)
% 5.38/5.96 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 5.38/5.96 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16360]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2905,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.97 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X3,X4,X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6372_1) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16354,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.97 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X3,X4,X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2905]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16355,plain,
% 5.38/5.97 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 5.38/5.97 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 5.38/5.97 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16354]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2904,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.97 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6372_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16352,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.97 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2904]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16353,plain,
% 5.38/5.97 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 5.38/5.97 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 5.38/5.97 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16352]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2901,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.97 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6371_1) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16346,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.97 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2901]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16347,plain,
% 5.38/5.97 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 5.38/5.97 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 5.38/5.97 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16346]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2900,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.97 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6371_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16344,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.97 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2900]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16345,plain,
% 5.38/5.97 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 5.38/5.97 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 5.38/5.97 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16344]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2888,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6368_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16320,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2888]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16321,plain,
% 5.38/5.97 ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16320]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2884,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6367_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16312,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2884]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16313,plain,
% 5.38/5.97 ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16312]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2881,plain,
% 5.38/5.97 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.38/5.97 | 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) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6366_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16306,plain,
% 5.38/5.97 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.38/5.97 | 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) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2881]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16307,plain,
% 5.38/5.97 ( 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)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16306]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2878,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.38/5.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6365_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16300,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.38/5.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2878]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16301,plain,
% 5.38/5.97 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16300]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2875,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.38/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 5.38/5.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6364_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16294,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.38/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 5.38/5.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2875]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16295,plain,
% 5.38/5.97 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 5.38/5.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.97 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16294]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2872,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6363_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16288,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2872]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16289,plain,
% 5.38/5.97 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16288]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2869,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6362_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16282,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2869]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16283,plain,
% 5.38/5.97 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.97 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16282]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2866,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6361_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16276,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2866]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16277,plain,
% 5.38/5.97 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16276]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2863,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6360_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16270,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2863]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16271,plain,
% 5.38/5.97 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16270]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2853,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.97 | ~ class_Int_Onumber(X0)
% 5.38/5.97 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.97 | 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) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6358_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16250,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.97 | ~ class_Int_Onumber(X0)
% 5.38/5.97 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.97 | 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) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2853]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16251,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.38/5.97 | ~ class_Int_Onumber(X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.97 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.97 | 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) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16250]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2850,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6357_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16244,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2850]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16245,plain,
% 5.38/5.97 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.38/5.97 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16244]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2847,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.97 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | c_lessequals(X1,X2,X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6356_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16238,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.38/5.97 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | c_lessequals(X1,X2,X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2847]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16239,plain,
% 5.38/5.97 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.38/5.97 | c_lessequals(X0,X1,X2)
% 5.38/5.97 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16238]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2835,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | ~ 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)
% 5.38/5.97 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.97 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6352_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16214,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | ~ 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)
% 5.38/5.97 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.97 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2835]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16215,plain,
% 5.38/5.97 ( ~ 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)
% 5.38/5.97 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.38/5.97 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16214]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2831,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6351_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16206,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.38/5.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2831]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16207,plain,
% 5.38/5.97 ( ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16206]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2822,plain,
% 5.38/5.97 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6348_2) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16188,plain,
% 5.38/5.97 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2822]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16189,plain,
% 5.38/5.97 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.38/5.97 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X1,tc_nat) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16188]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2815,plain,
% 5.38/5.97 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 5.38/5.97 | X0 = X2
% 5.38/5.97 | ~ c_lessequals(X1,X0,tc_nat)
% 5.38/5.97 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6346_2) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16174,plain,
% 5.38/5.97 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 5.38/5.97 | X0 = X2
% 5.38/5.97 | ~ c_lessequals(X1,X0,tc_nat)
% 5.38/5.97 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2815]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16175,plain,
% 5.38/5.97 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.38/5.97 | ~ c_lessequals(X0,X2,tc_nat)
% 5.38/5.97 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X0,tc_nat)
% 5.38/5.97 | X1 = X2 ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16174]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2813,plain,
% 5.38/5.97 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 5.38/5.97 | ~ c_lessequals(X1,X2,tc_nat)
% 5.38/5.97 | ~ c_lessequals(X1,X0,tc_nat)
% 5.38/5.97 | X0 = X2 ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6346_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16170,plain,
% 5.38/5.97 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 5.38/5.97 | ~ c_lessequals(X1,X2,tc_nat)
% 5.38/5.97 | ~ c_lessequals(X1,X0,tc_nat)
% 5.38/5.97 | X0 = X2 ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2813]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16171,plain,
% 5.38/5.97 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.38/5.97 | ~ c_lessequals(X0,X2,tc_nat)
% 5.38/5.97 | c_HOL_Ominus__class_Ominus(X2,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)
% 5.38/5.97 | X2 = X1 ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16170]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2801,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 5.38/5.97 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 5.38/5.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6343_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16146,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 5.38/5.97 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 5.38/5.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2801]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16147,plain,
% 5.38/5.97 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 5.38/5.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16146]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2797,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 5.38/5.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6342_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16138,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 5.38/5.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2797]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16139,plain,
% 5.38/5.97 ( ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16138]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2782,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.97 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 5.38/5.97 | X2 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6336_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16108,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.97 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 5.38/5.97 | X2 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2782]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16109,plain,
% 5.38/5.97 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 5.38/5.97 | X2 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16108]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2765,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6329_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16074,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2765]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16075,plain,
% 5.38/5.97 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16074]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2759,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.97 | 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)
% 5.38/5.97 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6327_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16062,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.97 | 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)
% 5.38/5.97 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2759]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16063,plain,
% 5.38/5.97 ( 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)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16062]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2755,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | 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)
% 5.38/5.97 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6326_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16054,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | 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)
% 5.38/5.97 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2755]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16055,plain,
% 5.38/5.97 ( 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)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16054]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2751,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.97 | c_lessequals(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)
% 5.38/5.97 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6325_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16046,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.97 | c_lessequals(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)
% 5.38/5.97 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2751]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_16047,plain,
% 5.38/5.97 ( c_lessequals(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)
% 5.38/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_16046]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2714,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.38/5.97 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.38/5.97 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6313_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_15972,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.38/5.97 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.38/5.97 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2714]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_15973,plain,
% 5.38/5.97 ( ~ c_lessequals(X0,X1,X2)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 5.38/5.97 | ~ class_OrderedGroup_Ocomm__monoid__add(X2)
% 5.38/5.97 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_15972]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2709,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.38/5.97 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6312_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_15962,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.38/5.97 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.38/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2709]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_15963,plain,
% 5.38/5.97 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.38/5.97 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.38/5.97 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_15962]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2704,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.38/5.97 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.38/5.97 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.38/5.97 | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6311_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_15952,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.38/5.97 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.38/5.97 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.38/5.97 | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2704]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_15953,plain,
% 5.38/5.97 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.97 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 5.38/5.97 | ~ c_lessequals(X2,X3,X0)
% 5.38/5.97 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.38/5.97 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_15952]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2699,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.38/5.97 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.38/5.97 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.38/5.97 | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6310_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_15942,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.38/5.97 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.38/5.97 | ~ c_lessequals(X1,X2,X0)
% 5.38/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.38/5.97 | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2699]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_15943,plain,
% 5.38/5.97 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.97 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),X0)
% 5.38/5.97 | ~ c_lessequals(X2,X3,X0)
% 5.38/5.97 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.38/5.97 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_15942]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2695,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6309_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_15934,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2695]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_15935,plain,
% 5.38/5.97 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.38/5.97 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X0),X1)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
% 5.38/5.97 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_15934]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2692,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.38/5.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6308_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_15928,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.38/5.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2692]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_15929,plain,
% 5.38/5.97 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 5.38/5.97 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_15928]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2688,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.97 | ~ 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)
% 5.38/5.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6307_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_15920,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.97 | ~ 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)
% 5.38/5.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2688]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_15921,plain,
% 5.38/5.97 ( ~ 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)
% 5.38/5.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_15920]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2684,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.97 | ~ 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)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6306_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_15912,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.97 | ~ 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)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2684]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_15913,plain,
% 5.38/5.97 ( ~ 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)
% 5.38/5.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_15912]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2680,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 5.38/5.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6305_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_15904,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 5.38/5.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2680]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_15905,plain,
% 5.38/5.97 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 5.38/5.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_15904]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2676,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.97 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6304_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_15896,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.97 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2676]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_15897,plain,
% 5.38/5.97 ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.38/5.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_15896]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2673,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.38/5.97 | ~ c_lessequals(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) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6303_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_15890,plain,
% 5.38/5.97 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.38/5.97 | ~ c_lessequals(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) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2673]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_15891,plain,
% 5.38/5.97 ( ~ c_lessequals(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)
% 5.38/5.97 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.38/5.97 | c_Int_Onumber__class_Onumber__of(X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_15890]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2669,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.38/5.97 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6302_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_15882,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.38/5.97 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.38/5.97 inference(copy,[status(esa)],[c_2669]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_15883,plain,
% 5.38/5.97 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.38/5.97 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.38/5.97 inference(rewriting,[status(thm)],[c_15882]) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_2665,plain,
% 5.38/5.97 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.38/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.38/5.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 5.38/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6301_0) ).
% 5.38/5.97
% 5.38/5.97 cnf(c_15874,plain,
% 5.80/5.97 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 5.80/5.97 inference(copy,[status(esa)],[c_2665]) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_15875,plain,
% 5.80/5.97 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.97 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.80/5.97 inference(rewriting,[status(thm)],[c_15874]) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_2661,plain,
% 5.80/5.97 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 5.80/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6300_0) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_15866,plain,
% 5.80/5.97 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 5.80/5.97 inference(copy,[status(esa)],[c_2661]) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_15867,plain,
% 5.80/5.97 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.97 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.80/5.97 inference(rewriting,[status(thm)],[c_15866]) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_2657,plain,
% 5.80/5.97 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 5.80/5.97 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 5.80/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6299_0) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_15858,plain,
% 5.80/5.97 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 5.80/5.97 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 5.80/5.97 inference(copy,[status(esa)],[c_2657]) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_15859,plain,
% 5.80/5.97 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.80/5.97 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.80/5.97 inference(rewriting,[status(thm)],[c_15858]) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_2653,plain,
% 5.80/5.97 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 5.80/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6298_0) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_15850,plain,
% 5.80/5.97 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 5.80/5.97 inference(copy,[status(esa)],[c_2653]) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_15851,plain,
% 5.80/5.97 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.97 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.80/5.97 inference(rewriting,[status(thm)],[c_15850]) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_2649,plain,
% 5.80/5.97 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 5.80/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6297_0) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_15842,plain,
% 5.80/5.97 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 5.80/5.97 inference(copy,[status(esa)],[c_2649]) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_15843,plain,
% 5.80/5.97 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.97 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.80/5.97 inference(rewriting,[status(thm)],[c_15842]) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_2625,plain,
% 5.80/5.97 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.97 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6291_0) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_15794,plain,
% 5.80/5.97 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.97 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.97 inference(copy,[status(esa)],[c_2625]) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_15795,plain,
% 5.80/5.97 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.97 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/5.97 inference(rewriting,[status(thm)],[c_15794]) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_2617,plain,
% 5.80/5.97 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6289_0) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_15778,plain,
% 5.80/5.97 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.97 inference(copy,[status(esa)],[c_2617]) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_15779,plain,
% 5.80/5.97 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.80/5.97 inference(rewriting,[status(thm)],[c_15778]) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_2613,plain,
% 5.80/5.97 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 5.80/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6288_0) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_15770,plain,
% 5.80/5.97 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 5.80/5.97 inference(copy,[status(esa)],[c_2613]) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_15771,plain,
% 5.80/5.97 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.97 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 5.80/5.97 inference(rewriting,[status(thm)],[c_15770]) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_2609,plain,
% 5.80/5.97 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.97 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 5.80/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6287_0) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_15762,plain,
% 5.80/5.97 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.97 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 5.80/5.97 inference(copy,[status(esa)],[c_2609]) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_15763,plain,
% 5.80/5.97 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.80/5.97 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/5.97 inference(rewriting,[status(thm)],[c_15762]) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_2605,plain,
% 5.80/5.97 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 5.80/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6286_0) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_15754,plain,
% 5.80/5.97 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 5.80/5.97 inference(copy,[status(esa)],[c_2605]) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_15755,plain,
% 5.80/5.97 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.97 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/5.97 inference(rewriting,[status(thm)],[c_15754]) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_2597,plain,
% 5.80/5.97 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.80/5.97 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 5.80/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6284_0) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_15738,plain,
% 5.80/5.97 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.80/5.97 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 5.80/5.97 inference(copy,[status(esa)],[c_2597]) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_15739,plain,
% 5.80/5.97 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.80/5.97 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 5.80/5.97 inference(rewriting,[status(thm)],[c_15738]) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_2593,plain,
% 5.80/5.97 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 5.80/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6283_0) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_15730,plain,
% 5.80/5.97 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.97 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 5.80/5.97 inference(copy,[status(esa)],[c_2593]) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_15731,plain,
% 5.80/5.97 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.97 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 5.80/5.97 inference(rewriting,[status(thm)],[c_15730]) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_2577,plain,
% 5.80/5.97 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 5.80/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6279_0) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_15698,plain,
% 5.80/5.97 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 5.80/5.97 inference(copy,[status(esa)],[c_2577]) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_15699,plain,
% 5.80/5.97 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.97 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/5.97 inference(rewriting,[status(thm)],[c_15698]) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_2573,plain,
% 5.80/5.97 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 5.80/5.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6278_0) ).
% 5.80/5.97
% 5.80/5.97 cnf(c_15690,plain,
% 5.80/5.97 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2573]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15691,plain,
% 5.80/5.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15690]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2569,plain,
% 5.80/5.98 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.80/5.98 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6277_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15682,plain,
% 5.80/5.98 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.80/5.98 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2569]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15683,plain,
% 5.80/5.98 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.80/5.98 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.80/5.98 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15682]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2565,plain,
% 5.80/5.98 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6276_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15674,plain,
% 5.80/5.98 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2565]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15675,plain,
% 5.80/5.98 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.80/5.98 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2),c_HOL_Ozero__class_Ozero(X1),X1)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.80/5.98 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15674]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2560,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.98 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(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)
% 5.80/5.98 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 5.80/5.98 | c_Int_Onumber__class_Onumber__of(X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6275_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15664,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.98 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(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)
% 5.80/5.98 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 5.80/5.98 | c_Int_Onumber__class_Onumber__of(X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2560]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15665,plain,
% 5.80/5.98 ( c_lessequals(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)
% 5.80/5.98 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.98 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 5.80/5.98 | c_Int_Onumber__class_Onumber__of(X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15664]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2551,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.80/5.98 | c_lessequals(X1,X2,X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6272_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15646,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.80/5.98 | c_lessequals(X1,X2,X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2551]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15647,plain,
% 5.80/5.98 ( ~ c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 5.80/5.98 | c_lessequals(X2,X1,X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15646]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2547,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | ~ c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 5.80/5.98 | c_lessequals(X2,X1,X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6271_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15638,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | ~ c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 5.80/5.98 | c_lessequals(X2,X1,X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2547]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15639,plain,
% 5.80/5.98 ( ~ c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 5.80/5.98 | c_lessequals(X2,X1,X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15638]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2543,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6270_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15630,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2543]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15631,plain,
% 5.80/5.98 ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15630]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2539,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6269_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15622,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2539]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15623,plain,
% 5.80/5.98 ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15622]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2535,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.98 | ~ c_lessequals(X1,X2,X0)
% 5.80/5.98 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3),X0)
% 5.80/5.98 | c_Parity_Oeven__odd__class_Oeven(X3,tc_nat) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6268_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15614,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.98 | ~ c_lessequals(X1,X2,X0)
% 5.80/5.98 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3),X0)
% 5.80/5.98 | c_Parity_Oeven__odd__class_Oeven(X3,tc_nat) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2535]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15615,plain,
% 5.80/5.98 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0)
% 5.80/5.98 | ~ c_lessequals(X1,X3,X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.98 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15614]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2531,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6267_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15606,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2531]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15607,plain,
% 5.80/5.98 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15606]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2527,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6266_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15598,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2527]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15599,plain,
% 5.80/5.98 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15598]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2515,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6263_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15574,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2515]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15575,plain,
% 5.80/5.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15574]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2511,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6262_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15566,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2511]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15567,plain,
% 5.80/5.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15566]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2503,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6260_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15550,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2503]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15551,plain,
% 5.80/5.98 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15550]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2497,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.98 | ~ 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)
% 5.80/5.98 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6258_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15538,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.98 | ~ 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)
% 5.80/5.98 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2497]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15539,plain,
% 5.80/5.98 ( ~ 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)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.98 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15538]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2492,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6257_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15528,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2492]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15529,plain,
% 5.80/5.98 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15528]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2487,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6256_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15518,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2487]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15519,plain,
% 5.80/5.98 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15518]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2482,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6255_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15508,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2482]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15509,plain,
% 5.80/5.98 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.98 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15508]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2477,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6254_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15498,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2477]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15499,plain,
% 5.80/5.98 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15498]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2472,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6253_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15488,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2472]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15489,plain,
% 5.80/5.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15488]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2467,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6252_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15478,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2467]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15479,plain,
% 5.80/5.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15478]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2462,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6251_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15468,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2462]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15469,plain,
% 5.80/5.98 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15468]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2457,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6250_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15458,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2457]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15459,plain,
% 5.80/5.98 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15458]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2436,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.80/5.98 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6241_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15416,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.80/5.98 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2436]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15417,plain,
% 5.80/5.98 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15416]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2432,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.80/5.98 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6240_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15408,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.80/5.98 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2432]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15409,plain,
% 5.80/5.98 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15408]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2428,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.80/5.98 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6239_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15400,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.80/5.98 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2428]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15401,plain,
% 5.80/5.98 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15400]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2424,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.80/5.98 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6238_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15392,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.80/5.98 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2424]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15393,plain,
% 5.80/5.98 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15392]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2420,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.98 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6237_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15384,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.98 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2420]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15385,plain,
% 5.80/5.98 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15384]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2417,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.98 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6236_1) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15378,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.98 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2417]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15379,plain,
% 5.80/5.98 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15378]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2416,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.98 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6236_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15376,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.98 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2416]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15377,plain,
% 5.80/5.98 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15376]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2413,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.98 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6235_1) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15370,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.98 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2413]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15371,plain,
% 5.80/5.98 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15370]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2412,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.98 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6235_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15368,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.98 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2412]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15369,plain,
% 5.80/5.98 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15368]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2408,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.98 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6234_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15360,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.98 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2408]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15361,plain,
% 5.80/5.98 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15360]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2390,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.98 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 5.80/5.98 | ~ 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) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6227_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15324,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.98 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 5.80/5.98 | ~ 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) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2390]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15325,plain,
% 5.80/5.98 ( ~ 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)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.98 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15324]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2384,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6226_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15312,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2384]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15313,plain,
% 5.80/5.98 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15312]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2378,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6225_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15300,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2378]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15301,plain,
% 5.80/5.98 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.80/5.98 | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15300]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2375,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6224_3) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15294,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2375]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15295,plain,
% 5.80/5.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15294]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2372,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6224_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15288,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2372]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15289,plain,
% 5.80/5.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15288]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2369,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6223_3) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15282,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2369]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15283,plain,
% 5.80/5.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15282]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2366,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6223_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15276,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2366]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15277,plain,
% 5.80/5.98 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15276]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2363,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.98 | ~ 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)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6222_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15270,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.98 | ~ 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)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2363]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15271,plain,
% 5.80/5.98 ( ~ 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)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15270]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2359,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.98 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 5.80/5.98 | ~ c_lessequals(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)
% 5.80/5.98 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6221_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15262,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.98 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 5.80/5.98 | ~ c_lessequals(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)
% 5.80/5.98 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2359]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15263,plain,
% 5.80/5.98 ( ~ c_lessequals(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)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.98 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 5.80/5.98 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15262]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2354,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6220_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15252,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2354]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15253,plain,
% 5.80/5.98 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15252]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2350,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6219_1) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15244,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2350]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15245,plain,
% 5.80/5.98 ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.80/5.98 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.80/5.98 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15244]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2349,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6219_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15242,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2349]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15243,plain,
% 5.80/5.98 ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.80/5.98 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.80/5.98 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15242]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2344,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6218_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15232,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2344]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15233,plain,
% 5.80/5.98 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15232]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2339,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6217_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15222,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2339]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15223,plain,
% 5.80/5.98 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15222]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2334,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6216_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15212,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2334]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15213,plain,
% 5.80/5.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15212]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2329,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6215_0) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15202,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2329]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15203,plain,
% 5.80/5.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15202]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2325,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6214_1) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15194,plain,
% 5.80/5.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.98 inference(copy,[status(esa)],[c_2325]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_15195,plain,
% 5.80/5.98 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.80/5.98 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.80/5.98 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 5.80/5.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 5.80/5.98 inference(rewriting,[status(thm)],[c_15194]) ).
% 5.80/5.98
% 5.80/5.98 cnf(c_2324,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6214_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15192,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2324]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15193,plain,
% 5.80/5.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.80/5.99 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.80/5.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_15192]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2319,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6213_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15182,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2319]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15183,plain,
% 5.80/5.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_15182]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2314,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.99 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6212_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15172,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.99 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2314]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15173,plain,
% 5.80/5.99 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_15172]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2309,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.99 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6211_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15162,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.99 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2309]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15163,plain,
% 5.80/5.99 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_15162]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2304,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.99 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6210_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15152,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.99 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2304]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15153,plain,
% 5.80/5.99 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.99 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_15152]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2299,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.99 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6209_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15142,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.99 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2299]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15143,plain,
% 5.80/5.99 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.99 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_15142]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2294,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6208_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15132,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2294]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15133,plain,
% 5.80/5.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_15132]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2289,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6207_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15122,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2289]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15123,plain,
% 5.80/5.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_15122]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2284,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6206_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15112,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2284]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15113,plain,
% 5.80/5.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_15112]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2279,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6205_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15102,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2279]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15103,plain,
% 5.80/5.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_15102]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2276,plain,
% 5.80/5.99 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 5.80/5.99 | 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) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6204_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15096,plain,
% 5.80/5.99 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 5.80/5.99 | 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) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2276]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15097,plain,
% 5.80/5.99 ( 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)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_15096]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2273,plain,
% 5.80/5.99 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.80/5.99 | ~ c_lessequals(X2,X3,tc_nat)
% 5.80/5.99 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1),tc_nat) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6203_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15090,plain,
% 5.80/5.99 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.80/5.99 | ~ c_lessequals(X2,X3,tc_nat)
% 5.80/5.99 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1),tc_nat) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2273]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15091,plain,
% 5.80/5.99 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3),tc_nat)
% 5.80/5.99 | ~ c_lessequals(X1,X3,tc_nat)
% 5.80/5.99 | ~ c_lessequals(X0,X2,tc_nat) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_15090]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2270,plain,
% 5.80/5.99 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.80/5.99 | ~ c_lessequals(X2,X3,tc_nat)
% 5.80/5.99 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6202_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15084,plain,
% 5.80/5.99 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.80/5.99 | ~ c_lessequals(X2,X3,tc_nat)
% 5.80/5.99 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2270]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15085,plain,
% 5.80/5.99 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 5.80/5.99 | ~ c_lessequals(X1,X3,tc_nat)
% 5.80/5.99 | ~ c_lessequals(X0,X2,tc_nat) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_15084]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2266,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.99 | ~ c_lessequals(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)
% 5.80/5.99 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.80/5.99 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6201_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15076,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.99 | ~ c_lessequals(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)
% 5.80/5.99 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.80/5.99 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2266]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15077,plain,
% 5.80/5.99 ( ~ c_lessequals(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)
% 5.80/5.99 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.99 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_15076]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2265,plain,
% 5.80/5.99 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6200_2) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15074,plain,
% 5.80/5.99 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2265]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15075,plain,
% 5.80/5.99 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.80/5.99 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_15074]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2262,plain,
% 5.80/5.99 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6199_2) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15068,plain,
% 5.80/5.99 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2262]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_15069,plain,
% 5.80/5.99 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.80/5.99 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_15068]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2192,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6169_2) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14928,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2192]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14929,plain,
% 5.80/5.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14928]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2190,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6169_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14924,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2190]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14925,plain,
% 5.80/5.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14924]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2188,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6168_2) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14920,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2188]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14921,plain,
% 5.80/5.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14920]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2186,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6168_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14916,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2186]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14917,plain,
% 5.80/5.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14916]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2163,plain,
% 5.80/5.99 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6157_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14870,plain,
% 5.80/5.99 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2163]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14871,plain,
% 5.80/5.99 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14870]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2155,plain,
% 5.80/5.99 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.80/5.99 | 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) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6154_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14854,plain,
% 5.80/5.99 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.80/5.99 | 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) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2155]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14855,plain,
% 5.80/5.99 ( 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)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14854]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2152,plain,
% 5.80/5.99 ( ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.80/5.99 | ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.80/5.99 | c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6153_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14848,plain,
% 5.80/5.99 ( ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.80/5.99 | ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.80/5.99 | c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2152]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14849,plain,
% 5.80/5.99 ( c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 5.80/5.99 | ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.80/5.99 | ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14848]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2148,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.99 | ~ c_lessequals(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)
% 5.80/5.99 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 5.80/5.99 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6152_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14840,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.99 | ~ c_lessequals(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)
% 5.80/5.99 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 5.80/5.99 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2148]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14841,plain,
% 5.80/5.99 ( ~ c_lessequals(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)
% 5.80/5.99 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.99 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14840]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2144,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.99 | ~ c_lessequals(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)
% 5.80/5.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6151_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14832,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.99 | ~ c_lessequals(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)
% 5.80/5.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2144]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14833,plain,
% 5.80/5.99 ( ~ c_lessequals(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)
% 5.80/5.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.99 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14832]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2141,plain,
% 5.80/5.99 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.80/5.99 | c_lessequals(c_Divides_Odiv__class_Odiv(X2,X1,tc_nat),c_Divides_Odiv__class_Odiv(X2,X0,tc_nat),tc_nat) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6150_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14826,plain,
% 5.80/5.99 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.80/5.99 | c_lessequals(c_Divides_Odiv__class_Odiv(X2,X1,tc_nat),c_Divides_Odiv__class_Odiv(X2,X0,tc_nat),tc_nat) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2141]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14827,plain,
% 5.80/5.99 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),c_Divides_Odiv__class_Odiv(X0,X2,tc_nat),tc_nat)
% 5.80/5.99 | ~ c_lessequals(X2,X1,tc_nat)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14826]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2128,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ class_Int_Onumber(X0)
% 5.80/5.99 | 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
% 5.80/5.99 | c_Int_Onumber__class_Onumber__of(X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6147_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14800,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | ~ class_Int_Onumber(X0)
% 5.80/5.99 | 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
% 5.80/5.99 | c_Int_Onumber__class_Onumber__of(X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2128]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14801,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.80/5.99 | ~ class_Int_Onumber(X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/5.99 | 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
% 5.80/5.99 | c_Int_Onumber__class_Onumber__of(X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14800]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2118,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/5.99 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),hAPP(c_Suc,X2))
% 5.80/5.99 | X1 = X3
% 5.80/5.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6143_2) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14780,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/5.99 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),hAPP(c_Suc,X2))
% 5.80/5.99 | X1 = X3
% 5.80/5.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2118]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14781,plain,
% 5.80/5.99 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/5.99 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),hAPP(c_Suc,X3))
% 5.80/5.99 | X1 = X2 ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14780]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2116,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/5.99 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),hAPP(c_Suc,X2))
% 5.80/5.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.80/5.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | X1 = X3 ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6143_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14776,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/5.99 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),hAPP(c_Suc,X2))
% 5.80/5.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.80/5.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | X1 = X3 ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2116]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14777,plain,
% 5.80/5.99 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/5.99 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),hAPP(c_Suc,X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X3))
% 5.80/5.99 | X2 = X1 ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14776]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2112,plain,
% 5.80/5.99 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 5.80/5.99 | 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) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6142_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14768,plain,
% 5.80/5.99 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 5.80/5.99 | 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) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2112]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14769,plain,
% 5.80/5.99 ( 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)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.80/5.99 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14768]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2108,plain,
% 5.80/5.99 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.80/5.99 | ~ c_lessequals(X3,X4,X0)
% 5.80/5.99 | 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) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6141_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14760,plain,
% 5.80/5.99 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.80/5.99 | ~ c_lessequals(X3,X4,X0)
% 5.80/5.99 | 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) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2108]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14761,plain,
% 5.80/5.99 ( ~ c_lessequals(X0,X1,X2)
% 5.80/5.99 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X4),X2)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 5.80/5.99 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14760]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2104,plain,
% 5.80/5.99 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.80/5.99 | ~ c_lessequals(X1,X2,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 5.80/5.99 | 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) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6140_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14752,plain,
% 5.80/5.99 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.80/5.99 | ~ c_lessequals(X1,X2,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 5.80/5.99 | 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) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2104]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14753,plain,
% 5.80/5.99 ( ~ c_lessequals(X0,X1,X2)
% 5.80/5.99 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X4),X1),X2)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 5.80/5.99 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14752]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2100,plain,
% 5.80/5.99 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 5.80/5.99 | ~ c_lessequals(X1,X2,X0)
% 5.80/5.99 | ~ c_lessequals(X3,X4,X0)
% 5.80/5.99 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6139_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14744,plain,
% 5.80/5.99 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 5.80/5.99 | ~ c_lessequals(X1,X2,X0)
% 5.80/5.99 | ~ c_lessequals(X3,X4,X0)
% 5.80/5.99 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2100]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14745,plain,
% 5.80/5.99 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 5.80/5.99 | ~ c_lessequals(X2,X4,X0)
% 5.80/5.99 | ~ c_lessequals(X1,X3,X0)
% 5.80/5.99 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14744]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2084,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.99 | ~ 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)
% 5.80/5.99 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 5.80/5.99 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6133_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14712,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.99 | ~ 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)
% 5.80/5.99 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 5.80/5.99 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2084]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14713,plain,
% 5.80/5.99 ( ~ 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)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.99 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 5.80/5.99 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14712]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2072,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/5.99 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.80/5.99 | ~ c_lessequals(X2,X3,tc_nat)
% 5.80/5.99 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6130_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14688,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/5.99 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.80/5.99 | ~ c_lessequals(X2,X3,tc_nat)
% 5.80/5.99 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2072]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14689,plain,
% 5.80/5.99 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 5.80/5.99 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.80/5.99 | ~ c_lessequals(X2,X3,tc_nat)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14688]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2068,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/5.99 | ~ c_lessequals(X1,X2,tc_nat)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X3,X0)
% 5.80/5.99 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6129_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14680,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/5.99 | ~ c_lessequals(X1,X2,tc_nat)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X3,X0)
% 5.80/5.99 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2068]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14681,plain,
% 5.80/5.99 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 5.80/5.99 | ~ c_lessequals(X2,X3,tc_nat)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14680]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2063,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.99 | ~ 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)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 5.80/5.99 | c_Int_Onumber__class_Onumber__of(X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6128_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14670,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.99 | ~ 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)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 5.80/5.99 | c_Int_Onumber__class_Onumber__of(X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2063]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14671,plain,
% 5.80/5.99 ( ~ 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)
% 5.80/5.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/5.99 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 5.80/5.99 | c_Int_Onumber__class_Onumber__of(X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14670]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2045,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.80/5.99 | 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) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6123_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14634,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.80/5.99 | 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) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2045]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14635,plain,
% 5.80/5.99 ( 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)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14634]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2029,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.80/5.99 | 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) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6119_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14602,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.80/5.99 | 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) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2029]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14603,plain,
% 5.80/5.99 ( 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)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14602]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2017,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.80/5.99 | 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) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6116_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14578,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.80/5.99 | 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) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2017]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14579,plain,
% 5.80/5.99 ( 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)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14578]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2013,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.99 | ~ c_lessequals(X1,X2,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6115_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14570,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.99 | ~ c_lessequals(X1,X2,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2013]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14571,plain,
% 5.80/5.99 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 5.80/5.99 | ~ c_lessequals(X3,X2,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14570]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2009,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.99 | ~ c_lessequals(X1,X2,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.80/5.99 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6114_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14562,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/5.99 | ~ c_lessequals(X1,X2,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.80/5.99 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2009]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14563,plain,
% 5.80/5.99 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 5.80/5.99 | ~ c_lessequals(X2,X3,X0)
% 5.80/5.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14562]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2005,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/5.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ c_lessequals(X1,X2,X0)
% 5.80/5.99 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3),X0) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6113_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14554,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/5.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ c_lessequals(X1,X2,X0)
% 5.80/5.99 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3),X0) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2005]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14555,plain,
% 5.80/5.99 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0)
% 5.80/5.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ c_lessequals(X1,X3,X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14554]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_2001,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.80/5.99 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | ~ c_lessequals(X2,X3,X0)
% 5.80/5.99 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6112_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14546,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.80/5.99 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | ~ c_lessequals(X2,X3,X0)
% 5.80/5.99 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_2001]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14547,plain,
% 5.80/5.99 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 5.80/5.99 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | ~ c_lessequals(X3,X1,X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14546]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_1997,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.80/5.99 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | ~ c_lessequals(X2,X3,X0)
% 5.80/5.99 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6111_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14538,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.80/5.99 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | ~ c_lessequals(X2,X3,X0)
% 5.80/5.99 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_1997]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14539,plain,
% 5.80/5.99 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 5.80/5.99 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/5.99 | ~ c_lessequals(X3,X2,X0)
% 5.80/5.99 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 5.80/5.99 inference(rewriting,[status(thm)],[c_14538]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_1993,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 5.80/5.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ c_lessequals(X2,X3,X0)
% 5.80/5.99 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0) ),
% 5.80/5.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6110_0) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14530,plain,
% 5.80/5.99 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 5.80/5.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/5.99 | ~ c_lessequals(X2,X3,X0)
% 5.80/5.99 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0) ),
% 5.80/5.99 inference(copy,[status(esa)],[c_1993]) ).
% 5.80/5.99
% 5.80/5.99 cnf(c_14531,plain,
% 5.80/5.99 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 5.80/5.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.00 | ~ c_lessequals(X1,X3,X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Omult__mono(X0) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14530]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1989,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_lessequals(X2,X3,X0)
% 5.80/6.00 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6109_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14522,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_lessequals(X2,X3,X0)
% 5.80/6.00 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1989]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14523,plain,
% 5.80/6.00 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_lessequals(X2,X3,X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Omult__mono(X0) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14522]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1985,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_lessequals(X2,X3,X0)
% 5.80/6.00 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6108_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14514,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_lessequals(X2,X3,X0)
% 5.80/6.00 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1985]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14515,plain,
% 5.80/6.00 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_lessequals(X2,X3,X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Omult__mono1(X0) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14514]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1977,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 5.80/6.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6106_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14498,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 5.80/6.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1977]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14499,plain,
% 5.80/6.00 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14498]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1971,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 5.80/6.00 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6105_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14486,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 5.80/6.00 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1971]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14487,plain,
% 5.80/6.00 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.80/6.00 | ~ c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14486]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1965,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6104_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14474,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1965]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14475,plain,
% 5.80/6.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14474]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1961,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6103_2) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14466,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1961]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14467,plain,
% 5.80/6.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14466]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1959,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6103_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14462,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1959]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14463,plain,
% 5.80/6.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14462]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1954,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/6.00 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.00 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X2,X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6102_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14452,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/6.00 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.00 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X2,X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1954]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14453,plain,
% 5.80/6.00 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14452]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1949,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/6.00 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.00 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6101_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14442,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/6.00 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.00 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1949]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14443,plain,
% 5.80/6.00 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.00 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14442]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1945,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/6.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.80/6.00 | X1 = X3
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6100_2) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14434,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/6.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.80/6.00 | X1 = X3
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1945]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14435,plain,
% 5.80/6.00 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/6.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3)
% 5.80/6.00 | X1 = X2 ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14434]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1943,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/6.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | X1 = X3 ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6100_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14430,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/6.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | X1 = X3 ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1943]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14431,plain,
% 5.80/6.00 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/6.00 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 5.80/6.00 | X2 = X1 ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14430]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1939,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/6.00 | ~ 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)
% 5.80/6.00 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6099_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14422,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/6.00 | ~ 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)
% 5.80/6.00 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1939]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14423,plain,
% 5.80/6.00 ( ~ 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)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.80/6.00 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14422]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1935,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6098_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14414,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1935]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14415,plain,
% 5.80/6.00 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14414]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1931,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6097_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14406,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1931]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14407,plain,
% 5.80/6.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14406]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1920,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | ~ c_lessequals(X2,X3,X0)
% 5.80/6.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6093_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14384,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | ~ c_lessequals(X2,X3,X0)
% 5.80/6.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1920]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14385,plain,
% 5.80/6.00 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 5.80/6.00 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.80/6.00 | ~ c_lessequals(X3,X0,X2)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14384]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1915,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_lessequals(X2,X3,X0)
% 5.80/6.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6092_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14374,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_lessequals(X2,X3,X0)
% 5.80/6.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1915]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14375,plain,
% 5.80/6.00 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 5.80/6.00 | ~ c_lessequals(X2,X3,X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14374]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1902,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Int_Onumber(X0)
% 5.80/6.00 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6089_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14348,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Int_Onumber(X0)
% 5.80/6.00 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1902]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14349,plain,
% 5.80/6.00 ( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 5.80/6.00 | c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.80/6.00 | ~ class_Int_Onumber(X1)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14348]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1895,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Int_Onumber(X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6088_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14334,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Int_Onumber(X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1895]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14335,plain,
% 5.80/6.00 ( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.80/6.00 | ~ class_Int_Onumber(X1)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14334]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1888,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Int_Onumber(X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6087_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14320,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Int_Onumber(X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1888]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14321,plain,
% 5.80/6.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | ~ class_Int_Onumber(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14320]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1881,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Int_Onumber(X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.80/6.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6086_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14306,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Int_Onumber(X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.80/6.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1881]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14307,plain,
% 5.80/6.00 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.80/6.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | ~ class_Int_Onumber(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14306]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1878,plain,
% 5.80/6.00 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.80/6.00 | ~ 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)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6085_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14300,plain,
% 5.80/6.00 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.80/6.00 | ~ 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)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1878]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14301,plain,
% 5.80/6.00 ( ~ 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)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.80/6.00 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14300]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1875,plain,
% 5.80/6.00 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.80/6.00 | ~ 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)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6084_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14294,plain,
% 5.80/6.00 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.80/6.00 | ~ 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)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1875]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14295,plain,
% 5.80/6.00 ( ~ 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)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.80/6.00 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14294]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1872,plain,
% 5.80/6.00 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.80/6.00 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 5.80/6.00 | c_lessequals(X1,X3,X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6083_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14288,plain,
% 5.80/6.00 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.80/6.00 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 5.80/6.00 | c_lessequals(X1,X3,X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1872]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14289,plain,
% 5.80/6.00 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 5.80/6.00 | c_lessequals(X1,X3,X0)
% 5.80/6.00 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14288]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1869,plain,
% 5.80/6.00 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.80/6.00 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 5.80/6.00 | c_lessequals(X2,X3,X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6082_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14282,plain,
% 5.80/6.00 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.80/6.00 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 5.80/6.00 | c_lessequals(X2,X3,X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1869]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14283,plain,
% 5.80/6.00 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 5.80/6.00 | c_lessequals(X2,X3,X0)
% 5.80/6.00 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14282]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1863,plain,
% 5.80/6.00 ( ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 5.80/6.00 | ~ c_lessequals(X2,X1,tc_nat)
% 5.80/6.00 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6080_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14270,plain,
% 5.80/6.00 ( ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 5.80/6.00 | ~ c_lessequals(X2,X1,tc_nat)
% 5.80/6.00 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1863]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14271,plain,
% 5.80/6.00 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.80/6.00 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.80/6.00 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14270]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1856,plain,
% 5.80/6.00 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)
% 5.80/6.00 | ~ c_lessequals(X1,X0,tc_nat)
% 5.80/6.00 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6076_2) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14256,plain,
% 5.80/6.00 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)
% 5.80/6.00 | ~ c_lessequals(X1,X0,tc_nat)
% 5.80/6.00 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1856]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14257,plain,
% 5.80/6.00 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.80/6.00 | ~ c_lessequals(X0,X2,tc_nat)
% 5.80/6.00 | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14256]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1845,plain,
% 5.80/6.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.80/6.00 | ~ c_lessequals(X1,X2,X0)
% 5.80/6.00 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 5.80/6.00 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6073_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14234,plain,
% 5.80/6.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.80/6.00 | ~ c_lessequals(X1,X2,X0)
% 5.80/6.00 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 5.80/6.00 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1845]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14235,plain,
% 5.80/6.00 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 5.80/6.00 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 5.80/6.00 | ~ c_lessequals(X3,X4,X1)
% 5.80/6.00 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14234]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1834,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Int_Onumber__ring(X0)
% 5.80/6.00 | ~ 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)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6069_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14212,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Int_Onumber__ring(X0)
% 5.80/6.00 | ~ 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)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1834]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14213,plain,
% 5.80/6.00 ( ~ 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)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ class_Int_Onumber__ring(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14212]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1827,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Int_Onumber(X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6068_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14198,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Int_Onumber(X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1827]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14199,plain,
% 5.80/6.00 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X1)
% 5.80/6.00 | ~ class_Int_Onumber(X1)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14198]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1820,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Int_Onumber(X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X1,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6067_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14184,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Int_Onumber(X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X1,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1820]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14185,plain,
% 5.80/6.00 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X2,X1)
% 5.80/6.00 | ~ class_Int_Onumber(X1)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14184]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1813,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Int_Onumber(X0)
% 5.80/6.00 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6066_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14170,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Int_Onumber(X0)
% 5.80/6.00 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1813]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14171,plain,
% 5.80/6.00 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.80/6.00 | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 5.80/6.00 | ~ class_Int_Onumber(X1)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14170]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1806,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Int_Onumber(X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X1,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6065_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14156,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Int_Onumber(X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X1,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1806]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14157,plain,
% 5.80/6.00 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X1,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 5.80/6.00 | ~ class_Int_Onumber(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14156]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1801,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.80/6.00 | ~ class_Int_Onumber__ring(X0)
% 5.80/6.00 | 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))
% 5.80/6.00 | X3 = X4
% 5.80/6.00 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6064_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14146,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.80/6.00 | ~ class_Int_Onumber__ring(X0)
% 5.80/6.00 | 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))
% 5.80/6.00 | X3 = X4
% 5.80/6.00 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1801]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14147,plain,
% 5.80/6.00 ( ~ class_Int_Onumber__ring(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Oidom(X0)
% 5.80/6.00 | 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))
% 5.80/6.00 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.80/6.00 | X3 = X4 ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14146]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1791,plain,
% 5.80/6.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.80/6.00 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat)
% 5.80/6.00 | c_lessequals(X1,X2,tc_nat) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6060_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14126,plain,
% 5.80/6.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.80/6.00 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat)
% 5.80/6.00 | c_lessequals(X1,X2,tc_nat) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1791]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14127,plain,
% 5.80/6.00 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 5.80/6.00 | c_lessequals(X0,X2,tc_nat)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14126]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1781,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.80/6.00 | ~ c_lessequals(X1,X2,tc_nat)
% 5.80/6.00 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat))
% 5.80/6.00 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6057_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14106,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.80/6.00 | ~ c_lessequals(X1,X2,tc_nat)
% 5.80/6.00 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat))
% 5.80/6.00 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1781]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14107,plain,
% 5.80/6.00 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.80/6.00 | ~ class_Ring__and__Field_Ofield(X2)
% 5.80/6.00 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat))
% 5.80/6.00 | X3 = c_HOL_Ozero__class_Ozero(X2) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14106]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1777,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6056_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14098,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1777]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14099,plain,
% 5.80/6.00 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14098]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1773,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6055_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14090,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1773]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14091,plain,
% 5.80/6.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14090]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1769,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.80/6.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6054_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14082,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.80/6.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1769]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14083,plain,
% 5.80/6.00 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 5.80/6.00 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14082]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1765,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.00 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6053_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14074,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.00 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1765]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14075,plain,
% 5.80/6.00 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.80/6.00 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14074]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1763,plain,
% 5.80/6.00 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 5.80/6.00 | ~ c_lessequals(X2,X0,tc_nat)
% 5.80/6.00 | ~ c_lessequals(X2,X1,tc_nat) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6052_2) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14070,plain,
% 5.80/6.00 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 5.80/6.00 | ~ c_lessequals(X2,X0,tc_nat)
% 5.80/6.00 | ~ c_lessequals(X2,X1,tc_nat) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1763]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14071,plain,
% 5.80/6.00 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.80/6.00 | ~ c_lessequals(X0,X2,tc_nat)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14070]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1761,plain,
% 5.80/6.00 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.80/6.00 | ~ c_lessequals(X2,X1,tc_nat)
% 5.80/6.00 | ~ c_lessequals(X2,X0,tc_nat)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6052_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14066,plain,
% 5.80/6.00 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.80/6.00 | ~ c_lessequals(X2,X1,tc_nat)
% 5.80/6.00 | ~ c_lessequals(X2,X0,tc_nat)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1761]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14067,plain,
% 5.80/6.00 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.80/6.00 | ~ c_lessequals(X0,X2,tc_nat)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14066]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1754,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/6.00 | 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))
% 5.80/6.00 | X1 = X2
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6050_2) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14052,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/6.00 | 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))
% 5.80/6.00 | X1 = X2
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1754]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14053,plain,
% 5.80/6.00 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/6.00 | 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))
% 5.80/6.00 | X1 = X2 ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14052]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1752,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/6.00 | 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))
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | X1 = X2 ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6050_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14048,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/6.00 | 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))
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | X1 = X2 ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1752]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14049,plain,
% 5.80/6.00 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/6.00 | 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_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 5.80/6.00 | X2 = X1 ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14048]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1747,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6049_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14038,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1747]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14039,plain,
% 5.80/6.00 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14038]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1742,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6048_0) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14028,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0) ),
% 5.80/6.00 inference(copy,[status(esa)],[c_1742]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_14029,plain,
% 5.80/6.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.00 inference(rewriting,[status(thm)],[c_14028]) ).
% 5.80/6.00
% 5.80/6.00 cnf(c_1732,plain,
% 5.80/6.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.00 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 5.80/6.00 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 5.80/6.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6046_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_14008,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 5.80/6.01 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1732]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_14009,plain,
% 5.80/6.01 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.80/6.01 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_14008]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1714,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6039_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13972,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1714]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13973,plain,
% 5.80/6.01 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13972]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1709,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6038_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13962,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1709]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13963,plain,
% 5.80/6.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13962]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1704,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 5.80/6.01 | c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6037_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13952,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 5.80/6.01 | c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1704]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13953,plain,
% 5.80/6.01 ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 5.80/6.01 | c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13952]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1696,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6035_1) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13936,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1696]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13937,plain,
% 5.80/6.01 ( ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13936]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1695,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6035_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13934,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1695]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13935,plain,
% 5.80/6.01 ( ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13934]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1692,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6034_1) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13928,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1692]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13929,plain,
% 5.80/6.01 ( ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13928]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1691,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6034_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13926,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1691]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13927,plain,
% 5.80/6.01 ( ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13926]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1684,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ class_Int_Onumber(X0)
% 5.80/6.01 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 5.80/6.01 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6033_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13912,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ class_Int_Onumber(X0)
% 5.80/6.01 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 5.80/6.01 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1684]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13913,plain,
% 5.80/6.01 ( c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 5.80/6.01 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.80/6.01 | ~ class_Int_Onumber(X1)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13912]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1677,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ class_Int_Onumber(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6032_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13898,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ class_Int_Onumber(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1677]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13899,plain,
% 5.80/6.01 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.80/6.01 | ~ class_Int_Onumber(X1)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13898]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1670,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ class_Int_Onumber(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6031_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13884,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ class_Int_Onumber(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1670]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13885,plain,
% 5.80/6.01 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | ~ class_Int_Onumber(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13884]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1663,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ class_Int_Onumber(X0)
% 5.80/6.01 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 5.80/6.01 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6030_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13870,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ class_Int_Onumber(X0)
% 5.80/6.01 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 5.80/6.01 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1663]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13871,plain,
% 5.80/6.01 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.80/6.01 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | ~ class_Int_Onumber(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13870]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1659,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6029_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13862,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1659]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13863,plain,
% 5.80/6.01 ( ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13862]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1655,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6028_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13854,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1655]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13855,plain,
% 5.80/6.01 ( ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13854]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1651,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6027_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13846,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1651]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13847,plain,
% 5.80/6.01 ( ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13846]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1647,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6026_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13838,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1647]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13839,plain,
% 5.80/6.01 ( ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13838]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1613,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6011_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13770,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1613]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13771,plain,
% 5.80/6.01 ( ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13770]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1609,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6010_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13762,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1609]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13763,plain,
% 5.80/6.01 ( ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13762]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1601,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.80/6.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1),X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6008_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13746,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.80/6.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1),X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1601]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13747,plain,
% 5.80/6.01 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13746]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1589,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/6.01 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.80/6.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ c_lessequals(X2,X3,tc_nat)
% 5.80/6.01 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6005_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13722,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/6.01 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.80/6.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ c_lessequals(X2,X3,tc_nat)
% 5.80/6.01 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1589]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13723,plain,
% 5.80/6.01 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 5.80/6.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.80/6.01 | ~ c_lessequals(X3,X2,tc_nat)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13722]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1584,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 5.80/6.01 | 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) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6004_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13712,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 5.80/6.01 | 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) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1584]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13713,plain,
% 5.80/6.01 ( 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)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13712]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1567,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5998_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13678,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1567]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13679,plain,
% 5.80/6.01 ( ~ 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)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13678]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1559,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/6.01 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.80/6.01 | c_lessequals(X2,X3,tc_nat) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5996_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13662,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/6.01 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.80/6.01 | c_lessequals(X2,X3,tc_nat) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1559]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13663,plain,
% 5.80/6.01 ( ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 5.80/6.01 | c_lessequals(X2,X3,tc_nat)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13662]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1555,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5995_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13654,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1555]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13655,plain,
% 5.80/6.01 ( ~ 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)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13654]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1551,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5994_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13646,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1551]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13647,plain,
% 5.80/6.01 ( ~ 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)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13646]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1547,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/6.01 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_lessequals(X3,X2,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5993_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13638,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/6.01 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_lessequals(X3,X2,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1547]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13639,plain,
% 5.80/6.01 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 5.80/6.01 | c_lessequals(X3,X2,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13638]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1543,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/6.01 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | c_lessequals(X2,X3,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5992_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13630,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.80/6.01 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | c_lessequals(X2,X3,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1543]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13631,plain,
% 5.80/6.01 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 5.80/6.01 | c_lessequals(X2,X3,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13630]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1539,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 5.80/6.01 | c_lessequals(X2,X3,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5991_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13622,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 5.80/6.01 | c_lessequals(X2,X3,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1539]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13623,plain,
% 5.80/6.01 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 5.80/6.01 | c_lessequals(X2,X3,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13622]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1535,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 5.80/6.01 | c_lessequals(X2,X3,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5990_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13614,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 5.80/6.01 | c_lessequals(X2,X3,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1535]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13615,plain,
% 5.80/6.01 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 5.80/6.01 | c_lessequals(X1,X3,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13614]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1531,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 5.80/6.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5989_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13606,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 5.80/6.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1531]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13607,plain,
% 5.80/6.01 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__semiring(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13606]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1527,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 5.80/6.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5988_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13598,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 5.80/6.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1527]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13599,plain,
% 5.80/6.01 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__semiring(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13598]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1523,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.80/6.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5987_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13590,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.80/6.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1523]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13591,plain,
% 5.80/6.01 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13590]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1519,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.80/6.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5986_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13582,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.80/6.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1519]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13583,plain,
% 5.80/6.01 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ 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)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13582]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1515,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/6.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5985_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13574,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.80/6.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1515]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13575,plain,
% 5.80/6.01 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13574]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1506,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 5.80/6.01 | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5983_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13556,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 5.80/6.01 | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1506]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13557,plain,
% 5.80/6.01 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1)
% 5.80/6.01 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X0,X3,X1),X1)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13556]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1500,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 5.80/6.01 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5982_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13544,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 5.80/6.01 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1500]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13545,plain,
% 5.80/6.01 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.80/6.01 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13544]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1497,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5981_3) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13538,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1497]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13539,plain,
% 5.80/6.01 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13538]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1494,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5981_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13532,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1494]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13533,plain,
% 5.80/6.01 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13532]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1488,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5980_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13520,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1488]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13521,plain,
% 5.80/6.01 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13520]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1482,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5979_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13508,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1482]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13509,plain,
% 5.80/6.01 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13508]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1476,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5978_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13496,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1476]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13497,plain,
% 5.80/6.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13496]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1473,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X2,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5977_3) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13490,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X2,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.80/6.01 inference(copy,[status(esa)],[c_1473]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13491,plain,
% 5.80/6.01 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.01 inference(rewriting,[status(thm)],[c_13490]) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_1470,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/6.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5977_0) ).
% 5.80/6.01
% 5.80/6.01 cnf(c_13484,plain,
% 5.80/6.01 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.01 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 5.80/6.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.80/6.02 inference(copy,[status(esa)],[c_1470]) ).
% 5.80/6.02
% 5.80/6.02 cnf(c_13485,plain,
% 5.80/6.02 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.80/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.80/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 5.80/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.02 inference(rewriting,[status(thm)],[c_13484]) ).
% 5.80/6.02
% 5.80/6.02 cnf(c_1464,plain,
% 5.80/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.02 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 5.80/6.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 5.80/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5976_0) ).
% 5.80/6.02
% 5.80/6.02 cnf(c_13472,plain,
% 5.80/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.80/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.02 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 5.80/6.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 5.80/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.80/6.02 inference(copy,[status(esa)],[c_1464]) ).
% 5.80/6.02
% 5.80/6.02 cnf(c_13473,plain,
% 5.80/6.02 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.80/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.80/6.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 5.80/6.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.80/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.80/6.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.80/6.02 inference(rewriting,[status(thm)],[c_13472]) ).
% 5.80/6.02
% 5.80/6.02 cnf(c_1458,plain,
% 5.80/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.85/6.02 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5975_0) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13460,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.85/6.02 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1458]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13461,plain,
% 5.85/6.02 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.85/6.02 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13460]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1452,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 5.85/6.02 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5974_0) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13448,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 5.85/6.02 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1452]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13449,plain,
% 5.85/6.02 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1)
% 5.85/6.02 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.85/6.02 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X0,X3,X1),X1)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.85/6.02 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13448]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1446,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 5.85/6.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5973_0) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13436,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 5.85/6.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1446]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13437,plain,
% 5.85/6.02 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13436]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1440,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.85/6.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5972_0) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13424,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.85/6.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1440]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13425,plain,
% 5.85/6.02 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13424]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1434,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 5.85/6.02 | c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5971_0) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13412,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 5.85/6.02 | c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1434]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13413,plain,
% 5.85/6.02 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1)
% 5.85/6.02 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X0,X3,X1),X1)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.85/6.02 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13412]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1428,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 5.85/6.02 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X2,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5970_0) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13400,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 5.85/6.02 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X2,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1428]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13401,plain,
% 5.85/6.02 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13400]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1422,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5969_0) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13388,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1422]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13389,plain,
% 5.85/6.02 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13388]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1416,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X2,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5968_0) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13376,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X2,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1416]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13377,plain,
% 5.85/6.02 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13376]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1399,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ class_Int_Onumber(X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5963_0) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13342,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ class_Int_Onumber(X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1399]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13343,plain,
% 5.85/6.02 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 5.85/6.02 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X1)
% 5.85/6.02 | ~ class_Int_Onumber(X1)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.85/6.02 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13342]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1392,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ class_Int_Onumber(X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5962_0) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13328,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ class_Int_Onumber(X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1392]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13329,plain,
% 5.85/6.02 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X2,X1)
% 5.85/6.02 | ~ class_Int_Onumber(X1)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.85/6.02 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13328]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1385,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ class_Int_Onumber(X0)
% 5.85/6.02 | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 5.85/6.02 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5961_0) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13314,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ class_Int_Onumber(X0)
% 5.85/6.02 | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 5.85/6.02 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1385]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13315,plain,
% 5.85/6.02 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.85/6.02 | ~ c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 5.85/6.02 | ~ class_Int_Onumber(X1)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.85/6.02 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13314]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1378,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ class_Int_Onumber(X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 5.85/6.02 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5960_0) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13300,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ class_Int_Onumber(X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 5.85/6.02 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1378]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13301,plain,
% 5.85/6.02 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X1,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 5.85/6.02 | ~ class_Int_Onumber(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13300]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1350,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | ~ c_lessequals(X1,X3,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5949_0) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13244,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | ~ c_lessequals(X1,X3,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1350]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13245,plain,
% 5.85/6.02 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(X2,X3,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13244]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1344,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.85/6.02 | ~ c_lessequals(X2,X4,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5948_0) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13232,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.85/6.02 | ~ c_lessequals(X2,X4,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1344]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13233,plain,
% 5.85/6.02 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(X2,X3,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13232]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1342,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.85/6.02 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 5.85/6.02 | ~ c_lessequals(X1,X3,X0)
% 5.85/6.02 | ~ c_lessequals(X2,X4,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5947_4) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13228,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.85/6.02 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 5.85/6.02 | ~ c_lessequals(X1,X3,X0)
% 5.85/6.02 | ~ c_lessequals(X2,X4,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1342]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13229,plain,
% 5.85/6.02 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | ~ c_lessequals(X1,X3,X0)
% 5.85/6.02 | ~ c_lessequals(X2,X4,X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13228]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1340,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 5.85/6.02 | ~ c_lessequals(X2,X3,X0)
% 5.85/6.02 | ~ c_lessequals(X1,X4,X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5947_2) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13224,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 5.85/6.02 | ~ c_lessequals(X2,X3,X0)
% 5.85/6.02 | ~ c_lessequals(X1,X4,X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1340]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13225,plain,
% 5.85/6.02 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(X1,X3,X0)
% 5.85/6.02 | ~ c_lessequals(X2,X4,X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13224]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1338,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | ~ c_lessequals(X1,X3,X0)
% 5.85/6.02 | ~ c_lessequals(X2,X4,X0)
% 5.85/6.02 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5947_0) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13220,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | ~ c_lessequals(X1,X3,X0)
% 5.85/6.02 | ~ c_lessequals(X2,X4,X0)
% 5.85/6.02 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1338]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13221,plain,
% 5.85/6.02 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(X2,X4,X0)
% 5.85/6.02 | ~ c_lessequals(X1,X3,X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13220]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1336,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.85/6.02 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 5.85/6.02 | ~ c_lessequals(X1,X3,X0)
% 5.85/6.02 | ~ c_lessequals(X2,X4,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5946_4) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13216,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.85/6.02 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 5.85/6.02 | ~ c_lessequals(X1,X3,X0)
% 5.85/6.02 | ~ c_lessequals(X2,X4,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1336]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13217,plain,
% 5.85/6.02 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | ~ c_lessequals(X1,X3,X0)
% 5.85/6.02 | ~ c_lessequals(X2,X4,X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13216]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1334,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4),X0)
% 5.85/6.02 | ~ c_lessequals(X3,X2,X0)
% 5.85/6.02 | ~ c_lessequals(X1,X4,X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5946_2) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13212,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4),X0)
% 5.85/6.02 | ~ c_lessequals(X3,X2,X0)
% 5.85/6.02 | ~ c_lessequals(X1,X4,X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1334]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13213,plain,
% 5.85/6.02 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.85/6.02 | ~ c_lessequals(X1,X3,X0)
% 5.85/6.02 | ~ c_lessequals(X2,X4,X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13212]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1332,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | ~ c_lessequals(X1,X3,X0)
% 5.85/6.02 | ~ c_lessequals(X4,X2,X0)
% 5.85/6.02 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5946_0) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13208,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | ~ c_lessequals(X1,X3,X0)
% 5.85/6.02 | ~ c_lessequals(X4,X2,X0)
% 5.85/6.02 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1332]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13209,plain,
% 5.85/6.02 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.85/6.02 | ~ c_lessequals(X2,X4,X0)
% 5.85/6.02 | ~ c_lessequals(X1,X3,X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13208]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1328,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4),X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5945_2) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13200,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4),X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1328]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13201,plain,
% 5.85/6.02 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13200]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1326,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X4,X2,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5945_0) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13196,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X4,X2,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1326]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13197,plain,
% 5.85/6.02 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13196]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1324,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5944_4) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13192,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1324]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13193,plain,
% 5.85/6.02 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13192]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1322,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5944_2) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13188,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1322]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13189,plain,
% 5.85/6.02 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13188]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1320,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5944_0) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13184,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1320]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13185,plain,
% 5.85/6.02 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13184]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1318,plain,
% 5.85/6.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.85/6.02 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 5.85/6.02 | ~ c_lessequals(X1,X0,tc_nat)
% 5.85/6.02 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5943_2) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13180,plain,
% 5.85/6.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.85/6.02 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 5.85/6.02 | ~ c_lessequals(X1,X0,tc_nat)
% 5.85/6.02 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1318]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13181,plain,
% 5.85/6.02 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.85/6.02 | ~ c_lessequals(X0,X2,tc_nat)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat)
% 5.85/6.02 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13180]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1316,plain,
% 5.85/6.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.85/6.02 | ~ c_lessequals(X1,X2,tc_nat)
% 5.85/6.02 | ~ c_lessequals(X1,X0,tc_nat)
% 5.85/6.02 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5943_0) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13176,plain,
% 5.85/6.02 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.85/6.02 | ~ c_lessequals(X1,X2,tc_nat)
% 5.85/6.02 | ~ c_lessequals(X1,X0,tc_nat)
% 5.85/6.02 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1316]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13177,plain,
% 5.85/6.02 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.85/6.02 | ~ c_lessequals(X0,X2,tc_nat)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 5.85/6.02 | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13176]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1308,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X4,X0),X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(X1,X3,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X4,X0)
% 5.85/6.02 | ~ c_lessequals(X4,X2,X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5940_4) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13160,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X4,X0),X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(X1,X3,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X4,X0)
% 5.85/6.02 | ~ c_lessequals(X4,X2,X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1308]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13161,plain,
% 5.85/6.02 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X4,X0),X0)
% 5.85/6.02 | ~ c_lessequals(X1,X3,X0)
% 5.85/6.02 | ~ c_lessequals(X4,X2,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X4,X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13160]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1304,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ c_lessequals(X1,X2,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(X3,X4,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.85/6.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5940_0) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13152,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ c_lessequals(X1,X2,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(X3,X4,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.85/6.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1304]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13153,plain,
% 5.85/6.02 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X4,X0),X0)
% 5.85/6.02 | ~ c_lessequals(X4,X2,X0)
% 5.85/6.02 | ~ c_lessequals(X1,X3,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X4,X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13152]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1298,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ c_lessequals(X1,X2,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5939_0) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13140,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ c_lessequals(X1,X2,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 5.85/6.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1298]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13141,plain,
% 5.85/6.02 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(X2,X3,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X0),c_HOL_Oinverse__class_Odivide(X4,X2,X0),X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 5.85/6.02 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13140]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1295,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.85/6.02 | ~ c_lessequals(X3,X4,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5938_3) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13134,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.85/6.02 | ~ c_lessequals(X3,X4,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1295]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13135,plain,
% 5.85/6.02 ( ~ c_lessequals(X0,X1,X2)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X4,X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 5.85/6.02 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13134]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1292,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(X3,X4,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5938_0) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13128,plain,
% 5.85/6.02 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.02 | ~ c_lessequals(X3,X4,X0)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1292]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13129,plain,
% 5.85/6.02 ( ~ c_lessequals(X0,X1,X2)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.85/6.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X4,X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
% 5.85/6.02 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 5.85/6.02 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13128]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1273,plain,
% 5.85/6.02 ( ~ class_Divides_Osemiring__div(X0)
% 5.85/6.02 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 5.85/6.02 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 5.85/6.02 | 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) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5932_0) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13090,plain,
% 5.85/6.02 ( ~ class_Divides_Osemiring__div(X0)
% 5.85/6.02 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 5.85/6.02 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 5.85/6.02 | 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) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1273]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13091,plain,
% 5.85/6.02 ( ~ class_Divides_Osemiring__div(X0)
% 5.85/6.02 | 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)
% 5.85/6.02 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 5.85/6.02 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 5.85/6.02 inference(rewriting,[status(thm)],[c_13090]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_1269,plain,
% 5.85/6.02 ( ~ class_Divides_Osemiring__div(X0)
% 5.85/6.02 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 5.85/6.02 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 5.85/6.02 | 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) ),
% 5.85/6.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5931_0) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13082,plain,
% 5.85/6.02 ( ~ class_Divides_Osemiring__div(X0)
% 5.85/6.02 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 5.85/6.02 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 5.85/6.02 | 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) ),
% 5.85/6.02 inference(copy,[status(esa)],[c_1269]) ).
% 5.85/6.02
% 5.85/6.02 cnf(c_13083,plain,
% 5.85/6.02 ( ~ class_Divides_Osemiring__div(X0)
% 5.85/6.02 | 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)
% 5.85/6.03 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 5.85/6.03 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_13082]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1265,plain,
% 5.85/6.03 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),hAPP(c_Suc,X2)),tc_nat)
% 5.85/6.03 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),X0,tc_nat)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.85/6.03 | X2 = c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5930_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_13074,plain,
% 5.85/6.03 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),hAPP(c_Suc,X2)),tc_nat)
% 5.85/6.03 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),X0,tc_nat)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.85/6.03 | X2 = c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1265]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_13075,plain,
% 5.85/6.03 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X2,tc_nat)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),hAPP(c_Suc,X1)),tc_nat)
% 5.85/6.03 | X1 = c_Divides_Odiv__class_Odiv(X2,X0,tc_nat) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_13074]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1258,plain,
% 5.85/6.03 ( ~ class_Divides_Oring__div(X0)
% 5.85/6.03 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 5.85/6.03 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 5.85/6.03 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X3,X0),X2,X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5928_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_13060,plain,
% 5.85/6.03 ( ~ class_Divides_Oring__div(X0)
% 5.85/6.03 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 5.85/6.03 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 5.85/6.03 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X3,X0),X2,X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1258]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_13061,plain,
% 5.85/6.03 ( ~ class_Divides_Oring__div(X0)
% 5.85/6.03 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 5.85/6.03 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 5.85/6.03 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_13060]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1252,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5927_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_13048,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1252]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_13049,plain,
% 5.85/6.03 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_13048]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1246,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 5.85/6.03 | c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5926_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_13036,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 5.85/6.03 | c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1246]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_13037,plain,
% 5.85/6.03 ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 5.85/6.03 | c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X2)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.85/6.03 | ~ class_Int_Onumber(X2)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_13036]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1213,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.85/6.03 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 5.85/6.03 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5918_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12970,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.85/6.03 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 5.85/6.03 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1213]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12971,plain,
% 5.85/6.03 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.85/6.03 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12970]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1207,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5917_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12958,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1207]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12959,plain,
% 5.85/6.03 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12958]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1201,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5916_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12946,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1201]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12947,plain,
% 5.85/6.03 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12946]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1195,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.85/6.03 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 5.85/6.03 | c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5915_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12934,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.85/6.03 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 5.85/6.03 | c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1195]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12935,plain,
% 5.85/6.03 ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 5.85/6.03 | c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X2)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 5.85/6.03 | ~ class_Int_Onumber(X2)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12934]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1183,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5913_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12910,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1183]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12911,plain,
% 5.85/6.03 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12910]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1177,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5912_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12898,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1177]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12899,plain,
% 5.85/6.03 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12898]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1169,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.85/6.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),hAPP(c_Suc,X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X3)),X0)
% 5.85/6.03 | c_lessequals(X2,X1,X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5909_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12882,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.85/6.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),hAPP(c_Suc,X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X3)),X0)
% 5.85/6.03 | c_lessequals(X2,X1,X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1169]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12883,plain,
% 5.85/6.03 ( ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),hAPP(c_Suc,X2)),X0)
% 5.85/6.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.85/6.03 | c_lessequals(X1,X3,X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12882]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1164,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5908_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12872,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1164]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12873,plain,
% 5.85/6.03 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12872]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1159,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5907_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12862,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1159]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12863,plain,
% 5.85/6.03 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12862]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1154,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.85/6.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.85/6.03 | ~ c_lessequals(X2,X1,X0)
% 5.85/6.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5906_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12852,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.85/6.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.85/6.03 | ~ c_lessequals(X2,X1,X0)
% 5.85/6.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1154]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12853,plain,
% 5.85/6.03 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X1,X3,X0),X0)
% 5.85/6.03 | ~ c_lessequals(X3,X2,X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12852]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1148,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5905_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12840,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1148]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12841,plain,
% 5.85/6.03 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12840]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1136,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0)
% 5.85/6.03 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5903_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12816,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0)
% 5.85/6.03 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1136]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12817,plain,
% 5.85/6.03 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.85/6.03 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12816]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1130,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5902_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12804,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1130]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12805,plain,
% 5.85/6.03 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12804]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1124,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.85/6.03 | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ c_lessequals(X1,X2,X0)
% 5.85/6.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5901_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12792,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.85/6.03 | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ c_lessequals(X1,X2,X0)
% 5.85/6.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1124]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12793,plain,
% 5.85/6.03 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 5.85/6.03 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.85/6.03 | ~ c_lessequals(X1,X3,X2)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12792]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1108,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.85/6.03 | ~ class_Int_Onumber__ring(X0)
% 5.85/6.03 | 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)) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5894_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12760,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.85/6.03 | ~ class_Int_Onumber__ring(X0)
% 5.85/6.03 | 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)) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1108]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12761,plain,
% 5.85/6.03 ( ~ class_Int_Onumber__ring(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Oidom(X0)
% 5.85/6.03 | 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)) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12760]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1101,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 5.85/6.03 | c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5893_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12746,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 5.85/6.03 | c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1101]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12747,plain,
% 5.85/6.03 ( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 5.85/6.03 | c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X1)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.85/6.03 | ~ class_Int_Onumber(X1)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12746]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1094,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5892_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12732,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1094]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12733,plain,
% 5.85/6.03 ( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 5.85/6.03 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X1)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.85/6.03 | ~ class_Int_Onumber(X1)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12732]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1087,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 5.85/6.03 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X2,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5891_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12718,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 5.85/6.03 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X2,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1087]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12719,plain,
% 5.85/6.03 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.85/6.03 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12718]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1080,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X2,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5890_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12704,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X2,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1080]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12705,plain,
% 5.85/6.03 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12704]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1065,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X3,X0)),X0)
% 5.85/6.03 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5886_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12674,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X3,X0)),X0)
% 5.85/6.03 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1065]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12675,plain,
% 5.85/6.03 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Int_Onumber__class_Onumber__of(X3,X1)),X1)
% 5.85/6.03 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.85/6.03 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 5.85/6.03 | ~ class_Int_Onumber(X1)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12674]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1058,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.85/6.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5885_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12660,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.85/6.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1058]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12661,plain,
% 5.85/6.03 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.85/6.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12660]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1051,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X3,X0)),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5884_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12646,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X3,X0)),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1051]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12647,plain,
% 5.85/6.03 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12646]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1044,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5883_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12632,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1044]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12633,plain,
% 5.85/6.03 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12632]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1037,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.85/6.03 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5882_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12618,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.85/6.03 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1037]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12619,plain,
% 5.85/6.03 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.85/6.03 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12618]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1030,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X3,X0)),X0)
% 5.85/6.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X1,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5881_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12604,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X3,X0)),X0)
% 5.85/6.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X1,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1030]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12605,plain,
% 5.85/6.03 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X1,X0)
% 5.85/6.03 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X3,X0)),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12604]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1023,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X3,X0)),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X1,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5880_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12590,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X3,X0)),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X1,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1023]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12591,plain,
% 5.85/6.03 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X2,X1)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Int_Onumber__class_Onumber__of(X0,X1)),X1)
% 5.85/6.03 | ~ class_Int_Onumber(X1)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12590]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1016,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5879_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12576,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1016]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12577,plain,
% 5.85/6.03 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 5.85/6.03 | ~ class_Int_Onumber(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12576]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_1000,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.85/6.03 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.85/6.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5873_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12544,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.85/6.03 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.85/6.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_1000]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12545,plain,
% 5.85/6.03 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.85/6.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 5.85/6.03 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12544]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_994,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 5.85/6.03 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0)
% 5.85/6.03 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 5.85/6.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5872_0) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12532,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 5.85/6.03 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0)
% 5.85/6.03 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 5.85/6.03 inference(copy,[status(esa)],[c_994]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_12533,plain,
% 5.85/6.03 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.85/6.03 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.85/6.03 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.03 inference(rewriting,[status(thm)],[c_12532]) ).
% 5.85/6.03
% 5.85/6.03 cnf(c_988,plain,
% 5.85/6.03 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.03 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.03 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0)
% 5.85/6.04 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 5.85/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5871_0) ).
% 5.85/6.04
% 5.85/6.04 cnf(c_12520,plain,
% 5.85/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0)
% 5.85/6.04 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 5.85/6.04 inference(copy,[status(esa)],[c_988]) ).
% 5.85/6.04
% 5.85/6.04 cnf(c_12521,plain,
% 5.85/6.04 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.04 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.85/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.04 inference(rewriting,[status(thm)],[c_12520]) ).
% 5.85/6.04
% 5.85/6.04 cnf(c_982,plain,
% 5.85/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X2,X0)
% 5.85/6.04 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 5.85/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5870_0) ).
% 5.85/6.04
% 5.85/6.04 cnf(c_12508,plain,
% 5.85/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X2,X0)
% 5.85/6.04 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 5.85/6.04 inference(copy,[status(esa)],[c_982]) ).
% 5.85/6.04
% 5.85/6.04 cnf(c_12509,plain,
% 5.85/6.04 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.04 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.85/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.04 inference(rewriting,[status(thm)],[c_12508]) ).
% 5.85/6.04
% 5.85/6.04 cnf(c_976,plain,
% 5.85/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.85/6.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 5.85/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5869_0) ).
% 5.85/6.04
% 5.85/6.04 cnf(c_12496,plain,
% 5.85/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.85/6.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 5.85/6.04 inference(copy,[status(esa)],[c_976]) ).
% 5.85/6.04
% 5.85/6.04 cnf(c_12497,plain,
% 5.85/6.04 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.85/6.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.85/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.04 inference(rewriting,[status(thm)],[c_12496]) ).
% 5.85/6.04
% 5.85/6.04 cnf(c_970,plain,
% 5.85/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 5.85/6.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 5.85/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5868_0) ).
% 5.85/6.04
% 5.85/6.04 cnf(c_12484,plain,
% 5.85/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 5.85/6.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 5.85/6.04 inference(copy,[status(esa)],[c_970]) ).
% 5.85/6.04
% 5.85/6.04 cnf(c_12485,plain,
% 5.85/6.04 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.85/6.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.04 inference(rewriting,[status(thm)],[c_12484]) ).
% 5.85/6.04
% 5.85/6.04 cnf(c_964,plain,
% 5.85/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 5.85/6.04 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 5.85/6.04 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 5.85/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5867_0) ).
% 5.85/6.04
% 5.85/6.04 cnf(c_12472,plain,
% 5.85/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 5.85/6.04 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 5.85/6.04 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0) ),
% 5.85/6.04 inference(copy,[status(esa)],[c_964]) ).
% 5.85/6.04
% 5.85/6.04 cnf(c_12473,plain,
% 5.85/6.04 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.85/6.04 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 5.85/6.04 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.04 inference(rewriting,[status(thm)],[c_12472]) ).
% 5.85/6.04
% 5.85/6.04 cnf(c_958,plain,
% 5.85/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.04 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 5.85/6.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X2,X0)
% 5.85/6.04 | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 5.85/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5866_0) ).
% 5.85/6.04
% 5.85/6.04 cnf(c_12460,plain,
% 5.85/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.04 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 5.85/6.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X2,X0)
% 5.85/6.04 | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 5.85/6.04 inference(copy,[status(esa)],[c_958]) ).
% 5.85/6.04
% 5.85/6.04 cnf(c_12461,plain,
% 5.85/6.04 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.85/6.04 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.85/6.04 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.85/6.04 inference(rewriting,[status(thm)],[c_12460]) ).
% 5.85/6.04
% 5.85/6.04 cnf(c_949,plain,
% 5.85/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.85/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.85/6.04 | ~ class_Int_Onumber(X0)
% 5.85/6.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.85/6.04 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 5.85/6.04 | c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 5.85/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.87/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5864_0) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12442,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 5.87/6.04 | c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.87/6.04 inference(copy,[status(esa)],[c_949]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12443,plain,
% 5.87/6.04 ( c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 5.87/6.04 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X1)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.87/6.04 | ~ class_Int_Onumber(X1)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.87/6.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.87/6.04 inference(rewriting,[status(thm)],[c_12442]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_942,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.87/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5863_0) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12428,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.87/6.04 inference(copy,[status(esa)],[c_942]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12429,plain,
% 5.87/6.04 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X1)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.87/6.04 | ~ class_Int_Onumber(X1)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.87/6.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.87/6.04 inference(rewriting,[status(thm)],[c_12428]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_935,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0)
% 5.87/6.04 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.87/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5862_0) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12414,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0)
% 5.87/6.04 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.87/6.04 inference(copy,[status(esa)],[c_935]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12415,plain,
% 5.87/6.04 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.87/6.04 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.04 inference(rewriting,[status(thm)],[c_12414]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_928,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.87/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5861_0) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12400,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.87/6.04 inference(copy,[status(esa)],[c_928]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12401,plain,
% 5.87/6.04 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.04 inference(rewriting,[status(thm)],[c_12400]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_919,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 5.87/6.04 | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 5.87/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5859_0) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12382,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 5.87/6.04 | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 5.87/6.04 inference(copy,[status(esa)],[c_919]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12383,plain,
% 5.87/6.04 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Int_Onumber__class_Onumber__of(X3,X1)),X1)
% 5.87/6.04 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 5.87/6.04 | ~ class_Int_Onumber(X1)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.87/6.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.87/6.04 inference(rewriting,[status(thm)],[c_12382]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_912,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 5.87/6.04 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 5.87/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5858_0) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12368,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 5.87/6.04 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 5.87/6.04 inference(copy,[status(esa)],[c_912]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12369,plain,
% 5.87/6.04 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.87/6.04 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.04 inference(rewriting,[status(thm)],[c_12368]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_905,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 5.87/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5857_0) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12354,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 5.87/6.04 inference(copy,[status(esa)],[c_905]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12355,plain,
% 5.87/6.04 ( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),c_Int_Onumber__class_Onumber__of(X0,X1)),X1)
% 5.87/6.04 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X1)
% 5.87/6.04 | ~ class_Int_Onumber(X1)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.87/6.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.87/6.04 inference(rewriting,[status(thm)],[c_12354]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_898,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 5.87/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5856_0) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12340,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 5.87/6.04 inference(copy,[status(esa)],[c_898]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12341,plain,
% 5.87/6.04 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.04 inference(rewriting,[status(thm)],[c_12340]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_895,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.04 | 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)
% 5.87/6.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5855_0) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12334,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.04 | 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)
% 5.87/6.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.04 inference(copy,[status(esa)],[c_895]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12335,plain,
% 5.87/6.04 ( 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)
% 5.87/6.04 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.04 inference(rewriting,[status(thm)],[c_12334]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_892,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.04 | 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)
% 5.87/6.04 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5854_0) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12328,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.04 | 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)
% 5.87/6.04 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.04 inference(copy,[status(esa)],[c_892]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12329,plain,
% 5.87/6.04 ( 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)
% 5.87/6.04 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.04 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.04 inference(rewriting,[status(thm)],[c_12328]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_885,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 5.87/6.04 | c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 5.87/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5853_0) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12314,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 5.87/6.04 | c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 5.87/6.04 inference(copy,[status(esa)],[c_885]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12315,plain,
% 5.87/6.04 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Int_Onumber__class_Onumber__of(X3,X1)),X1)
% 5.87/6.04 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 5.87/6.04 | ~ class_Int_Onumber(X1)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.87/6.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.87/6.04 inference(rewriting,[status(thm)],[c_12314]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_878,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 5.87/6.04 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X2,X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 5.87/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5852_0) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12300,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 5.87/6.04 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X2,X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 5.87/6.04 inference(copy,[status(esa)],[c_878]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12301,plain,
% 5.87/6.04 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.87/6.04 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.04 inference(rewriting,[status(thm)],[c_12300]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_871,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 5.87/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5851_0) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12286,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 5.87/6.04 inference(copy,[status(esa)],[c_871]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12287,plain,
% 5.87/6.04 ( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 5.87/6.04 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),c_Int_Onumber__class_Onumber__of(X0,X1)),X1)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X1)
% 5.87/6.04 | ~ class_Int_Onumber(X1)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.87/6.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.87/6.04 inference(rewriting,[status(thm)],[c_12286]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_864,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X2,X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 5.87/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5850_0) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12272,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X2,X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 5.87/6.04 inference(copy,[status(esa)],[c_864]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12273,plain,
% 5.87/6.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.04 inference(rewriting,[status(thm)],[c_12272]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_856,plain,
% 5.87/6.04 ( ~ hBOOL(hAPP(X0,X1))
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),hAPP(c_Suc,X1)),tc_nat)
% 5.87/6.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1),X2,tc_nat)
% 5.87/6.04 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X2,X3,tc_nat))) ),
% 5.87/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5847_0) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12256,plain,
% 5.87/6.04 ( ~ hBOOL(hAPP(X0,X1))
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),hAPP(c_Suc,X1)),tc_nat)
% 5.87/6.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1),X2,tc_nat)
% 5.87/6.04 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X2,X3,tc_nat))) ),
% 5.87/6.04 inference(copy,[status(esa)],[c_856]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12257,plain,
% 5.87/6.04 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)))
% 5.87/6.04 | ~ hBOOL(hAPP(X0,X3))
% 5.87/6.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3),X1,tc_nat)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),hAPP(c_Suc,X3)),tc_nat) ),
% 5.87/6.04 inference(rewriting,[status(thm)],[c_12256]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_846,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.87/6.04 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.87/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5845_0) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12236,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.87/6.04 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.87/6.04 inference(copy,[status(esa)],[c_846]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12237,plain,
% 5.87/6.04 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.87/6.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.04 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.04 inference(rewriting,[status(thm)],[c_12236]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_839,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.04 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 5.87/6.04 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5844_0) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12222,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.04 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 5.87/6.04 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.04 inference(copy,[status(esa)],[c_839]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12223,plain,
% 5.87/6.04 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.04 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.04 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.04 inference(rewriting,[status(thm)],[c_12222]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_832,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5843_0) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12208,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.04 inference(copy,[status(esa)],[c_832]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12209,plain,
% 5.87/6.04 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.04 inference(rewriting,[status(thm)],[c_12208]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_825,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.87/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5842_0) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12194,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.87/6.04 inference(copy,[status(esa)],[c_825]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12195,plain,
% 5.87/6.04 ( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X1)
% 5.87/6.04 | ~ class_Int_Onumber(X1)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.87/6.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.87/6.04 inference(rewriting,[status(thm)],[c_12194]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_818,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5841_0) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12180,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.04 inference(copy,[status(esa)],[c_818]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12181,plain,
% 5.87/6.04 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.04 inference(rewriting,[status(thm)],[c_12180]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_811,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.87/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5840_0) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12166,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.87/6.04 inference(copy,[status(esa)],[c_811]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12167,plain,
% 5.87/6.04 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.04 inference(rewriting,[status(thm)],[c_12166]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_804,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 5.87/6.04 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.87/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5839_0) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12152,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 5.87/6.04 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.87/6.04 inference(copy,[status(esa)],[c_804]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12153,plain,
% 5.87/6.04 ( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 5.87/6.04 | c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 5.87/6.04 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X1)
% 5.87/6.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 5.87/6.04 | ~ class_Int_Onumber(X1)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 5.87/6.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.87/6.04 inference(rewriting,[status(thm)],[c_12152]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_797,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.87/6.04 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5838_0) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12138,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.87/6.04 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.04 inference(copy,[status(esa)],[c_797]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12139,plain,
% 5.87/6.04 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.87/6.04 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.04 | ~ class_Int_Onumber(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.04 inference(rewriting,[status(thm)],[c_12138]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_789,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.04 | ~ c_lessequals(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_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0)
% 5.87/6.04 | c_lessequals(X2,X1,X0) ),
% 5.87/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5835_0) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12122,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.04 | ~ c_lessequals(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_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0)
% 5.87/6.04 | c_lessequals(X2,X1,X0) ),
% 5.87/6.04 inference(copy,[status(esa)],[c_789]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12123,plain,
% 5.87/6.04 ( ~ c_lessequals(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)
% 5.87/6.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.04 | c_lessequals(X1,X2,X0)
% 5.87/6.04 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.87/6.04 inference(rewriting,[status(thm)],[c_12122]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_785,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(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_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.87/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5834_0) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12114,plain,
% 5.87/6.04 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(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_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0)
% 5.87/6.04 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.87/6.04 inference(copy,[status(esa)],[c_785]) ).
% 5.87/6.04
% 5.87/6.04 cnf(c_12115,plain,
% 5.87/6.04 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.04 | ~ c_HOL_Oord__class_Oless(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_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0)
% 5.87/6.05 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_12114]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_765,plain,
% 5.87/6.05 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.87/6.05 | ~ c_lessequals(X1,X2,tc_nat)
% 5.87/6.05 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat))),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X2),X1,tc_nat)) ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5826_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_12074,plain,
% 5.87/6.05 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.87/6.05 | ~ c_lessequals(X1,X2,tc_nat)
% 5.87/6.05 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat))),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X2),X1,tc_nat)) ),
% 5.87/6.05 inference(copy,[status(esa)],[c_765]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_12075,plain,
% 5.87/6.05 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.05 | ~ class_OrderedGroup_Omonoid__mult(X2)
% 5.87/6.05 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat))),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X1),X0,tc_nat)) ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_12074]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_748,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X3,X0)),X0)
% 5.87/6.05 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X3,X0)),X2,X0)
% 5.87/6.05 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0) ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5820_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_12040,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X3,X0)),X0)
% 5.87/6.05 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X3,X0)),X2,X0)
% 5.87/6.05 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0) ),
% 5.87/6.05 inference(copy,[status(esa)],[c_748]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_12041,plain,
% 5.87/6.05 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.87/6.05 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X0)
% 5.87/6.05 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_12040]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_741,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.05 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.87/6.05 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X0)
% 5.87/6.05 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0) ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5819_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_12026,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.05 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.87/6.05 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X0)
% 5.87/6.05 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0) ),
% 5.87/6.05 inference(copy,[status(esa)],[c_741]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_12027,plain,
% 5.87/6.05 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.87/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.05 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 5.87/6.05 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_12026]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_734,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X0)
% 5.87/6.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0) ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5818_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_12012,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X0)
% 5.87/6.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0) ),
% 5.87/6.05 inference(copy,[status(esa)],[c_734]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_12013,plain,
% 5.87/6.05 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_12012]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_727,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X3,X0)),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X3,X0)),X2,X0)
% 5.87/6.05 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0) ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5817_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11998,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X3,X0)),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X3,X0)),X2,X0)
% 5.87/6.05 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0) ),
% 5.87/6.05 inference(copy,[status(esa)],[c_727]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11999,plain,
% 5.87/6.05 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_11998]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_712,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 5.87/6.05 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X2,X0)
% 5.87/6.05 | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5813_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11968,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 5.87/6.05 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X2,X0)
% 5.87/6.05 | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 5.87/6.05 inference(copy,[status(esa)],[c_712]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11969,plain,
% 5.87/6.05 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.87/6.05 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X0)
% 5.87/6.05 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_11968]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_705,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 5.87/6.05 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 5.87/6.05 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0) ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5812_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11954,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 5.87/6.05 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 5.87/6.05 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0) ),
% 5.87/6.05 inference(copy,[status(esa)],[c_705]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11955,plain,
% 5.87/6.05 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.87/6.05 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 5.87/6.05 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_11954]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_698,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 5.87/6.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0) ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5811_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11940,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 5.87/6.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0) ),
% 5.87/6.05 inference(copy,[status(esa)],[c_698]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11941,plain,
% 5.87/6.05 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_11940]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_691,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X2,X0)
% 5.87/6.05 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5810_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11926,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X2,X0)
% 5.87/6.05 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0) ),
% 5.87/6.05 inference(copy,[status(esa)],[c_691]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11927,plain,
% 5.87/6.05 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X0)
% 5.87/6.05 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_11926]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_678,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X2,X0)
% 5.87/6.05 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5807_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11900,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X2,X0)
% 5.87/6.05 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 5.87/6.05 inference(copy,[status(esa)],[c_678]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11901,plain,
% 5.87/6.05 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.87/6.05 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_11900]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_671,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0)
% 5.87/6.05 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X0)
% 5.87/6.05 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5806_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11886,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0)
% 5.87/6.05 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X0)
% 5.87/6.05 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 5.87/6.05 inference(copy,[status(esa)],[c_671]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11887,plain,
% 5.87/6.05 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.87/6.05 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.05 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_11886]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_664,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X0)
% 5.87/6.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5805_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11872,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X0)
% 5.87/6.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0) ),
% 5.87/6.05 inference(copy,[status(esa)],[c_664]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11873,plain,
% 5.87/6.05 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.87/6.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_11872]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_657,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 5.87/6.05 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X2,X0)
% 5.87/6.05 | c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5804_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11858,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 5.87/6.05 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X2,X0)
% 5.87/6.05 | c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 5.87/6.05 inference(copy,[status(esa)],[c_657]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11859,plain,
% 5.87/6.05 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.87/6.05 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.87/6.05 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_11858]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_654,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.05 | ~ c_lessequals(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)),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5803_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11852,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.05 | ~ c_lessequals(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)),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.05 inference(copy,[status(esa)],[c_654]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11853,plain,
% 5.87/6.05 ( ~ c_lessequals(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)),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_11852]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_645,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.87/6.05 | ~ class_Int_Onumber__ring(X0)
% 5.87/6.05 | 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))
% 5.87/6.05 | X1 = X3
% 5.87/6.05 | X2 = X4 ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5801_1) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11834,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.87/6.05 | ~ class_Int_Onumber__ring(X0)
% 5.87/6.05 | 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))
% 5.87/6.05 | X1 = X3
% 5.87/6.05 | X2 = X4 ),
% 5.87/6.05 inference(copy,[status(esa)],[c_645]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11835,plain,
% 5.87/6.05 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Oidom(X0)
% 5.87/6.05 | 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))
% 5.87/6.05 | X1 = X3
% 5.87/6.05 | X2 = X4 ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_11834]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_644,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.87/6.05 | ~ class_Int_Onumber__ring(X0)
% 5.87/6.05 | 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))
% 5.87/6.05 | X2 = X4
% 5.87/6.05 | X1 = X3 ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5801_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11832,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.87/6.05 | ~ class_Int_Onumber__ring(X0)
% 5.87/6.05 | 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))
% 5.87/6.05 | X2 = X4
% 5.87/6.05 | X1 = X3 ),
% 5.87/6.05 inference(copy,[status(esa)],[c_644]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11833,plain,
% 5.87/6.05 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Oidom(X0)
% 5.87/6.05 | 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))
% 5.87/6.05 | X2 = X4
% 5.87/6.05 | X1 = X3 ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_11832]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_637,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 5.87/6.05 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X2,X0)
% 5.87/6.05 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5800_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11818,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 5.87/6.05 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X2,X0)
% 5.87/6.05 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 5.87/6.05 inference(copy,[status(esa)],[c_637]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11819,plain,
% 5.87/6.05 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.87/6.05 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.87/6.05 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_11818]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_630,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X2,X0)
% 5.87/6.05 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5799_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11804,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X2,X0)
% 5.87/6.05 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 5.87/6.05 inference(copy,[status(esa)],[c_630]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11805,plain,
% 5.87/6.05 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.05 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_11804]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_623,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X0)
% 5.87/6.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5798_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11790,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X0)
% 5.87/6.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 5.87/6.05 inference(copy,[status(esa)],[c_623]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11791,plain,
% 5.87/6.05 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.05 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_11790]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_616,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.05 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.87/6.05 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X0)
% 5.87/6.05 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5797_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11776,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.05 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.87/6.05 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X0)
% 5.87/6.05 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 5.87/6.05 inference(copy,[status(esa)],[c_616]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11777,plain,
% 5.87/6.05 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.87/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.05 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.05 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X0)
% 5.87/6.05 | ~ class_Int_Onumber(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_11776]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_599,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.05 | ~ c_lessequals(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)
% 5.87/6.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5791_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11742,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.05 | ~ c_lessequals(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)
% 5.87/6.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.05 inference(copy,[status(esa)],[c_599]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11743,plain,
% 5.87/6.05 ( ~ c_lessequals(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)
% 5.87/6.05 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_11742]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_596,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.05 | ~ c_lessequals(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)
% 5.87/6.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5790_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11736,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.05 | ~ c_lessequals(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)
% 5.87/6.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.05 inference(copy,[status(esa)],[c_596]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11737,plain,
% 5.87/6.05 ( ~ c_lessequals(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)
% 5.87/6.05 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_11736]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_585,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.05 | 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)
% 5.87/6.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5786_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11714,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.05 | 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)
% 5.87/6.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.05 inference(copy,[status(esa)],[c_585]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11715,plain,
% 5.87/6.05 ( 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)
% 5.87/6.05 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_11714]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_582,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.05 | 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)
% 5.87/6.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5785_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11708,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.05 | 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)
% 5.87/6.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.05 inference(copy,[status(esa)],[c_582]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11709,plain,
% 5.87/6.05 ( 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)
% 5.87/6.05 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_11708]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_549,plain,
% 5.87/6.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4)
% 5.87/6.05 | ~ c_lessequals(X3,X0,tc_nat)
% 5.87/6.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2) = X4 ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5771_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11642,plain,
% 5.87/6.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4)
% 5.87/6.05 | ~ c_lessequals(X3,X0,tc_nat)
% 5.87/6.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2) = X4 ),
% 5.87/6.05 inference(copy,[status(esa)],[c_549]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11643,plain,
% 5.87/6.05 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3) = X4
% 5.87/6.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X4) ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_11642]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_546,plain,
% 5.87/6.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4)
% 5.87/6.05 | ~ c_lessequals(X0,X3,tc_nat)
% 5.87/6.05 | X2 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4) ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5770_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11636,plain,
% 5.87/6.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4)
% 5.87/6.05 | ~ c_lessequals(X0,X3,tc_nat)
% 5.87/6.05 | X2 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4) ),
% 5.87/6.05 inference(copy,[status(esa)],[c_546]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11637,plain,
% 5.87/6.05 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4)
% 5.87/6.05 | X3 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X4) ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_11636]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_527,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.05 | ~ c_lessequals(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)
% 5.87/6.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5762_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11598,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.05 | ~ c_lessequals(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)
% 5.87/6.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.05 inference(copy,[status(esa)],[c_527]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11599,plain,
% 5.87/6.05 ( ~ c_lessequals(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)
% 5.87/6.05 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_11598]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_524,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.05 | ~ c_lessequals(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)
% 5.87/6.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5761_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11592,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.05 | ~ c_lessequals(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)
% 5.87/6.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.05 inference(copy,[status(esa)],[c_524]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11593,plain,
% 5.87/6.05 ( ~ c_lessequals(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)
% 5.87/6.05 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_11592]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_519,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),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))),X0)
% 5.87/6.05 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5759_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11582,plain,
% 5.87/6.05 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),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))),X0)
% 5.87/6.05 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.87/6.05 inference(copy,[status(esa)],[c_519]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11583,plain,
% 5.87/6.05 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),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))),X0)
% 5.87/6.05 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.05 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 5.87/6.05 inference(rewriting,[status(thm)],[c_11582]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_497,plain,
% 5.87/6.05 ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 5.87/6.05 | ~ c_SEQ_OLIMSEQ(X1,X2,X0)
% 5.87/6.05 | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Oinverse__class_Oinverse(X0),X1,X0,X0,tc_nat),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 5.87/6.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5751_0) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11538,plain,
% 5.87/6.05 ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 5.87/6.05 | ~ c_SEQ_OLIMSEQ(X1,X2,X0)
% 5.87/6.05 | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Oinverse__class_Oinverse(X0),X1,X0,X0,tc_nat),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 5.87/6.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.05 inference(copy,[status(esa)],[c_497]) ).
% 5.87/6.05
% 5.87/6.05 cnf(c_11539,plain,
% 5.87/6.05 ( c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Oinverse__class_Oinverse(X0),X1,X0,X0,tc_nat),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 5.87/6.05 | ~ c_SEQ_OLIMSEQ(X1,X2,X0)
% 5.87/6.05 | ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 5.87/6.06 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_11538]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_474,plain,
% 5.87/6.06 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.06 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X0),X1,tc_nat)))
% 5.87/6.06 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.06 | hBOOL(hAPP(X2,X3)) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5741_0) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11492,plain,
% 5.87/6.06 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.06 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X0),X1,tc_nat)))
% 5.87/6.06 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.06 | hBOOL(hAPP(X2,X3)) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_474]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11493,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3),X1,tc_nat)))
% 5.87/6.06 | hBOOL(hAPP(X0,X2))
% 5.87/6.06 | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
% 5.87/6.06 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_11492]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_470,plain,
% 5.87/6.06 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.06 | ~ 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)))
% 5.87/6.06 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.06 | hBOOL(hAPP(X2,X0)) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5740_0) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11484,plain,
% 5.87/6.06 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.06 | ~ 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)))
% 5.87/6.06 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.06 | hBOOL(hAPP(X2,X0)) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_470]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11485,plain,
% 5.87/6.06 ( ~ 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)))
% 5.87/6.06 | hBOOL(hAPP(X0,X3))
% 5.87/6.06 | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
% 5.87/6.06 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_11484]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_460,plain,
% 5.87/6.06 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 5.87/6.06 | ~ c_lessequals(X3,X0,tc_nat)
% 5.87/6.06 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2),X4,tc_nat) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5736_0) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11464,plain,
% 5.87/6.06 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 5.87/6.06 | ~ c_lessequals(X3,X0,tc_nat)
% 5.87/6.06 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2),X4,tc_nat) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_460]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11465,plain,
% 5.87/6.06 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 5.87/6.06 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat)
% 5.87/6.06 | ~ c_lessequals(X1,X0,tc_nat) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_11464]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_457,plain,
% 5.87/6.06 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 5.87/6.06 | ~ c_lessequals(X3,X0,tc_nat)
% 5.87/6.06 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2),X4,tc_nat) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5735_0) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11458,plain,
% 5.87/6.06 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 5.87/6.06 | ~ c_lessequals(X3,X0,tc_nat)
% 5.87/6.06 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2),X4,tc_nat) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_457]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11459,plain,
% 5.87/6.06 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.06 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3),X4,tc_nat)
% 5.87/6.06 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X4),tc_nat) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_11458]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_454,plain,
% 5.87/6.06 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 5.87/6.06 | ~ c_lessequals(X0,X3,tc_nat)
% 5.87/6.06 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5734_0) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11452,plain,
% 5.87/6.06 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 5.87/6.06 | ~ c_lessequals(X0,X3,tc_nat)
% 5.87/6.06 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_454]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11453,plain,
% 5.87/6.06 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.06 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat)
% 5.87/6.06 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X4),tc_nat) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_11452]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_451,plain,
% 5.87/6.06 ( ~ class_RealVector_Ometric__space(X0)
% 5.87/6.06 | ~ c_SEQ_OLIMSEQ(c_COMBB(X1,c_Suc,tc_nat,X0,tc_nat),X2,X0)
% 5.87/6.06 | c_SEQ_OLIMSEQ(X1,X2,X0) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5733_0) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11446,plain,
% 5.87/6.06 ( ~ class_RealVector_Ometric__space(X0)
% 5.87/6.06 | ~ c_SEQ_OLIMSEQ(c_COMBB(X1,c_Suc,tc_nat,X0,tc_nat),X2,X0)
% 5.87/6.06 | c_SEQ_OLIMSEQ(X1,X2,X0) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_451]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11447,plain,
% 5.87/6.06 ( ~ c_SEQ_OLIMSEQ(c_COMBB(X0,c_Suc,tc_nat,X1,tc_nat),X2,X1)
% 5.87/6.06 | c_SEQ_OLIMSEQ(X0,X2,X1)
% 5.87/6.06 | ~ class_RealVector_Ometric__space(X1) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_11446]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_439,plain,
% 5.87/6.06 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.87/6.06 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 5.87/6.06 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5729_0) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11422,plain,
% 5.87/6.06 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.87/6.06 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 5.87/6.06 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_439]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11423,plain,
% 5.87/6.06 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 5.87/6.06 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0)
% 5.87/6.06 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_11422]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_436,plain,
% 5.87/6.06 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.87/6.06 | ~ c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X0),X1,X0,X0,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 5.87/6.06 | c_SEQ_OLIMSEQ(X1,X2,X0) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5728_0) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11416,plain,
% 5.87/6.06 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.87/6.06 | ~ c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X0),X1,X0,X0,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 5.87/6.06 | c_SEQ_OLIMSEQ(X1,X2,X0) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_436]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11417,plain,
% 5.87/6.06 ( ~ c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X0),X1,X0,X0,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 5.87/6.06 | c_SEQ_OLIMSEQ(X1,X2,X0)
% 5.87/6.06 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_11416]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_425,plain,
% 5.87/6.06 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3)),X4),tc_nat)
% 5.87/6.06 | ~ c_lessequals(X2,X1,tc_nat)
% 5.87/6.06 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4),tc_nat) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5724_0) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11394,plain,
% 5.87/6.06 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3)),X4),tc_nat)
% 5.87/6.06 | ~ c_lessequals(X2,X1,tc_nat)
% 5.87/6.06 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4),tc_nat) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_425]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11395,plain,
% 5.87/6.06 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 5.87/6.06 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat)
% 5.87/6.06 | ~ c_lessequals(X0,X3,tc_nat) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_11394]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_419,plain,
% 5.87/6.06 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 5.87/6.06 | ~ c_lessequals(X1,X0,tc_nat)
% 5.87/6.06 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5722_0) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11382,plain,
% 5.87/6.06 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 5.87/6.06 | ~ c_lessequals(X1,X0,tc_nat)
% 5.87/6.06 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_419]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11383,plain,
% 5.87/6.06 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.06 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3),X4,tc_nat)
% 5.87/6.06 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X4),tc_nat) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_11382]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_416,plain,
% 5.87/6.06 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3)),X4),tc_nat)
% 5.87/6.06 | ~ c_lessequals(X2,X1,tc_nat)
% 5.87/6.06 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4),tc_nat) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5721_0) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11376,plain,
% 5.87/6.06 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3)),X4),tc_nat)
% 5.87/6.06 | ~ c_lessequals(X2,X1,tc_nat)
% 5.87/6.06 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4),tc_nat) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_416]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11377,plain,
% 5.87/6.06 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.06 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat)
% 5.87/6.06 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X4),tc_nat) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_11376]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_407,plain,
% 5.87/6.06 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.87/6.06 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 5.87/6.06 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5718_0) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11358,plain,
% 5.87/6.06 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.87/6.06 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 5.87/6.06 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_407]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11359,plain,
% 5.87/6.06 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 5.87/6.06 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0)
% 5.87/6.06 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_11358]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_285,plain,
% 5.87/6.06 ( hAPP(X0,X1) != hAPP(X2,X3)
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X4,X2,X5,X6,X7,X8,X9,X3,X10,X0,X11)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X8,X1),X5)) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5658_0) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11114,plain,
% 5.87/6.06 ( hAPP(X0,X1) != hAPP(X2,X3)
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X4,X2,X5,X6,X7,X8,X9,X3,X10,X0,X11)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X8,X1),X5)) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_285]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11115,plain,
% 5.87/6.06 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 5.87/6.06 | hAPP(X9,X11) != hAPP(X1,X7) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_11114]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_282,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X1,X5,X6,X0,X7,X8,X9,X10,X11)
% 5.87/6.06 | hAPP(X10,X2) = X8 ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5657_0) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11108,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X1,X5,X6,X0,X7,X8,X9,X10,X11)
% 5.87/6.06 | hAPP(X10,X2) = X8 ),
% 5.87/6.06 inference(copy,[status(esa)],[c_282]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11109,plain,
% 5.87/6.06 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X5,X2),X11))
% 5.87/6.06 | hAPP(X9,X11) = X7 ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_11108]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_279,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X2,X5,X6,X0,X7,X8,X9,X10,X11)
% 5.87/6.06 | hAPP(X10,X1) = hAPP(X4,X8) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5656_0) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11102,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X2,X5,X6,X0,X7,X8,X9,X10,X11)
% 5.87/6.06 | hAPP(X10,X1) = hAPP(X4,X8) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_279]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11103,plain,
% 5.87/6.06 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X5,X11),X2))
% 5.87/6.06 | hAPP(X9,X11) = hAPP(X1,X7) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_11102]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_275,plain,
% 5.87/6.06 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.06 | X11 = X12
% 5.87/6.06 | hBOOL(hAPP(hAPP(X5,X11),X12))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X5,X12),X11)) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5654_2) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11094,plain,
% 5.87/6.06 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.06 | X11 = X12
% 5.87/6.06 | hBOOL(hAPP(hAPP(X5,X11),X12))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X5,X12),X11)) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_275]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11095,plain,
% 5.87/6.06 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X5,X11),X12))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X5,X12),X11))
% 5.87/6.06 | X11 = X12 ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_11094]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_266,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X1,X5,X6,X0,X7,X8,X9,X10,X11)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X0,X1),hAPP(X10,X2))) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5651_0) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11076,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X1,X5,X6,X0,X7,X8,X9,X10,X11)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X0,X1),hAPP(X10,X2))) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_266]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11077,plain,
% 5.87/6.06 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X5,X2),hAPP(X9,X11)))
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_11076]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_263,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(X2,X3)))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X1,X6,X7,X0,X8,X9,X10,X2,X11)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X0,X1),X3)) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5650_0) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11070,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(X2,X3)))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X1,X6,X7,X0,X8,X9,X10,X2,X11)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X0,X1),X3)) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_263]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11071,plain,
% 5.87/6.06 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X5,X2),hAPP(X9,X11)))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_11070]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_258,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X2,X5,X6,X0,X7,X8,X9,X10,X11)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X0,hAPP(X10,X1)),X2)) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5648_0) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11060,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X2,X5,X6,X0,X7,X8,X9,X10,X11)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X0,hAPP(X10,X1)),X2)) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_258]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11061,plain,
% 5.87/6.06 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X5,hAPP(X9,X11)),X2))
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_11060]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_255,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(X1,X2)),X3))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X3,X6,X7,X0,X8,X9,X10,X1,X11)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X0,X2),X3)) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5647_0) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11054,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(X1,X2)),X3))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X3,X6,X7,X0,X8,X9,X10,X1,X11)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X0,X2),X3)) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_255]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11055,plain,
% 5.87/6.06 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X5,hAPP(X9,X11)),X2))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_11054]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_238,plain,
% 5.87/6.06 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5642_3) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11020,plain,
% 5.87/6.06 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_238]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11021,plain,
% 5.87/6.06 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X5,X2),X11))
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X4,X12),X7)) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_11020]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_235,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1)))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5642_0) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11014,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1)))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_235]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11015,plain,
% 5.87/6.06 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X4,X12),X7))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_11014]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_234,plain,
% 5.87/6.06 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X1),X5)))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5641_3) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11012,plain,
% 5.87/6.06 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X1),X5)))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_234]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11013,plain,
% 5.87/6.06 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X4,X7),X12)) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_11012]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_231,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X2)))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5641_0) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11006,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X2)))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_231]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11007,plain,
% 5.87/6.06 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X4,X7),X12))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_11006]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_230,plain,
% 5.87/6.06 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5640_3) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11004,plain,
% 5.87/6.06 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_230]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_11005,plain,
% 5.87/6.06 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X5,X2),X11))
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X4,X12),X7)) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_11004]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_227,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12)))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5640_0) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_10998,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12)))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_227]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_10999,plain,
% 5.87/6.06 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X4,X12),X7))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_10998]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_226,plain,
% 5.87/6.06 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X5),X1)))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5639_3) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_10996,plain,
% 5.87/6.06 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X5),X1)))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_226]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_10997,plain,
% 5.87/6.06 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X4,X7),X12)) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_10996]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_223,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X2),X12)))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5639_0) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_10990,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X2),X12)))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_223]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_10991,plain,
% 5.87/6.06 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X4,X7),X12))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_10990]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_222,plain,
% 5.87/6.06 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5638_3) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_10988,plain,
% 5.87/6.06 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_222]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_10989,plain,
% 5.87/6.06 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X4,X2),X11))
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X5,X12),X7)) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_10988]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_219,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1)))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5638_0) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_10982,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1)))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_219]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_10983,plain,
% 5.87/6.06 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X5,X12),X7))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_10982]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_218,plain,
% 5.87/6.06 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X1),X5)))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5637_3) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_10980,plain,
% 5.87/6.06 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X1),X5)))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_218]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_10981,plain,
% 5.87/6.06 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X5,X7),X12)) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_10980]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_215,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X2)))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5637_0) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_10974,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X2)))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_215]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_10975,plain,
% 5.87/6.06 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X5,X7),X12))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X4,X11),X2)) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_10974]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_214,plain,
% 5.87/6.06 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5636_3) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_10972,plain,
% 5.87/6.06 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_214]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_10973,plain,
% 5.87/6.06 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X4,X2),X11))
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X5,X12),X7)) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_10972]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_211,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12)))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5636_0) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_10966,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12)))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_211]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_10967,plain,
% 5.87/6.06 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X5,X12),X7))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_10966]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_210,plain,
% 5.87/6.06 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X5),X1)))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5635_3) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_10964,plain,
% 5.87/6.06 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X5),X1)))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_210]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_10965,plain,
% 5.87/6.06 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X5,X7),X12)) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_10964]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_207,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X2),X12)))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5635_0) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_10958,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X2),X12)))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_207]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_10959,plain,
% 5.87/6.06 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X5,X7),X12))
% 5.87/6.06 | hBOOL(hAPP(hAPP(X4,X11),X2)) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_10958]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_206,plain,
% 5.87/6.06 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X2,X11,X12)
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5634_3) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_10956,plain,
% 5.87/6.06 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X2,X11,X12)
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 5.87/6.06 inference(copy,[status(esa)],[c_206]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_10957,plain,
% 5.87/6.06 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X5,X7),X12))
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X5,X12),X7)) ),
% 5.87/6.06 inference(rewriting,[status(thm)],[c_10956]) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_203,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 5.87/6.06 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12))) ),
% 5.87/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5634_0) ).
% 5.87/6.06
% 5.87/6.06 cnf(c_10950,plain,
% 5.87/6.06 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.06 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 5.87/6.06 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12))) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_203]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10951,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X12),X7))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X7),X12)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10950]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_202,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X2,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5633_3) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10948,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X2,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_202]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10949,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X7),X12))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X12),X7)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10948]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_199,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1))) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5633_0) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10942,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1))) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_199]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10943,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X12),X7))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X7),X12)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10942]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_198,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X2,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5632_3) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10940,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X2,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_198]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10941,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X7),X12))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X12),X7)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10940]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_195,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12))) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5632_0) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10934,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12))) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_195]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10935,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X12),X7))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X7),X12)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10934]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_194,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X2,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5631_3) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10932,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X2,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_194]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10933,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X7),X12))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X12),X7)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10932]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_191,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1))) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5631_0) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10926,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1))) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_191]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10927,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X12),X7))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X7),X12)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10926]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_174,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5626_3) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10892,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_174]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10893,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,X12),X7))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X11),X2)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10892]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_171,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X5),X1)))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5626_0) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10886,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X5),X1)))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_171]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10887,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X11),X2))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,X12),X7)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10886]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_170,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X2),X12)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5625_3) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10884,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X2),X12)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_170]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10885,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,X7),X12))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10884]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_167,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5625_0) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10878,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_167]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10879,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X2),X11))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,X7),X12)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10878]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_166,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5624_3) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10876,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_166]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10877,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,X12),X7))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X11),X2)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10876]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_163,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X1),X5)))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5624_0) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10870,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X1),X5)))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_163]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10871,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X11),X2))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,X12),X7)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10870]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_162,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X2)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5623_3) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10868,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X2)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_162]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10869,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,X7),X12))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10868]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_159,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5623_0) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10862,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_159]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10863,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X2),X11))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,X7),X12)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10862]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_158,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5622_3) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10860,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_158]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10861,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,X12),X7))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10860]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_155,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X5),X1)))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5622_0) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10854,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X5),X1)))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_155]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10855,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X11),X2))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,X12),X7)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10854]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_154,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X2),X12)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5621_3) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10852,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X2),X12)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_154]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10853,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,X7),X12))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10852]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_151,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5621_0) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10846,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_151]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10847,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X2),X11))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,X7),X12)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10846]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_150,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5620_3) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10844,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_150]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10845,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,X12),X7))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10844]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_147,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X1),X5)))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5620_0) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10838,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X1),X5)))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_147]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10839,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X11),X2))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,X12),X7)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10838]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_146,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X2)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5619_3) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10836,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X2)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_146]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10837,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,X7),X12))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10836]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_143,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5619_0) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10830,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_143]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10831,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X2),X11))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,X7),X12)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10830]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_142,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5618_3) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10828,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_142]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10829,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,X2),X11))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X7),X12)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10828]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_139,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5618_0) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10822,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_139]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10823,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X7),X12))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10822]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_138,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X1),X5)),X1))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5617_3) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10820,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X1),X5)),X1))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_138]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10821,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X12),X7)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10820]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_135,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X1)),X12))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5617_0) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10814,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X1)),X12))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_135]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10815,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X12),X7))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10814]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_134,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5616_3) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10812,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_134]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10813,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,X2),X12))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X7),X11)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10812]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_131,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5616_0) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10806,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_131]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10807,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X7),X11))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,X2),X12)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10806]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_130,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X1)),X1))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5615_3) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10804,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X1)),X1))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_130]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10805,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,X12),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X11),X7)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10804]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_127,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X1),X12)),X12))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5615_0) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10798,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X1),X12)),X12))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_127]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10799,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X11),X7))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,X12),X2)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10798]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_126,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5614_3) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10796,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_126]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10797,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,X2),X11))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X7),X12)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10796]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_123,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5614_0) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10790,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_123]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10791,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X7),X12))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10790]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_122,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X1),X5)),X1))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5613_3) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10788,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X1),X5)),X1))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_122]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10789,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X12),X7)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10788]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_119,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X1)),X12))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5613_0) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10782,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X1)),X12))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_119]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10783,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X12),X7))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,X11),X2)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10782]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_118,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5612_3) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10780,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_118]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10781,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,X2),X12))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X7),X11)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10780]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_115,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5612_0) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10774,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_115]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10775,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X7),X11))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,X2),X12)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10774]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_114,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X1)),X1))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5611_3) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10772,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X1)),X1))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_114]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10773,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,X12),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X11),X7)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10772]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_111,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X1),X12)),X12))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5611_0) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10766,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X1),X12)),X12))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_111]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10767,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X11),X7))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,X12),X2)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10766]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_110,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X1,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X2),X10))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X10),X2)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5610_3) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10764,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X1,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X2),X10))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X10),X2)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_110]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10765,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X11),X7))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X7),X11)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10764]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_107,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5610_0) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10758,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_107]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10759,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X7),X11))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X11),X7)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10758]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_106,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X1,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X3),X10))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X10),X3)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5609_3) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10756,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X1,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X3),X10))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X10),X3)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_106]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10757,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X12),X7))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X7),X12)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10756]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_103,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5609_0) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10750,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_103]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10751,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X7),X12))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,X12),X7)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10750]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_102,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X1,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X2),X10))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X10),X2)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5608_3) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10748,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X1,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X2),X10))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X10),X2)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_102]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10749,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X11),X7))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X7),X11)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10748]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_99,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5608_0) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10742,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_99]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10743,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X7),X11))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X11),X7)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10742]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_96,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X1,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X3),X10))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X10),X3)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5606_3) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10736,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X1,X11,X12)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X3),X10))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X10),X3)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_96]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10737,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X12),X7))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X7),X12)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10736]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_93,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5606_0) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10730,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_93]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10731,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X7),X12))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X12),X7)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10730]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_90,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5604_3) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10724,plain,
% 5.87/6.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.07 inference(copy,[status(esa)],[c_90]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_10725,plain,
% 5.87/6.07 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 5.87/6.07 | hBOOL(hAPP(hAPP(X5,X7),X11))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X4,X12),X2)) ),
% 5.87/6.07 inference(rewriting,[status(thm)],[c_10724]) ).
% 5.87/6.07
% 5.87/6.07 cnf(c_87,plain,
% 5.87/6.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.07 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X1)),X1))
% 5.87/6.07 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.07 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5604_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10718,plain,
% 5.87/6.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X1)),X1))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.08 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_87]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10719,plain,
% 5.87/6.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X4,X12),X2))
% 5.87/6.08 | hBOOL(hAPP(hAPP(X5,X7),X11)) ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_10718]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_86,plain,
% 5.87/6.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X1),X12)),X12))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5603_3) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10716,plain,
% 5.87/6.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X1),X12)),X12))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_86]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10717,plain,
% 5.87/6.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 5.87/6.08 | hBOOL(hAPP(hAPP(X5,X11),X7))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X4,X2),X12)) ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_10716]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_83,plain,
% 5.87/6.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.08 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5603_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10710,plain,
% 5.87/6.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.08 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_83]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10711,plain,
% 5.87/6.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X4,X2),X12))
% 5.87/6.08 | hBOOL(hAPP(hAPP(X5,X11),X7)) ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_10710]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_82,plain,
% 5.87/6.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5602_3) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10708,plain,
% 5.87/6.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_82]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10709,plain,
% 5.87/6.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 5.87/6.08 | hBOOL(hAPP(hAPP(X5,X7),X12))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X4,X11),X2)) ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_10708]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_79,plain,
% 5.87/6.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X1),X5)),X1))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.08 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5602_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10702,plain,
% 5.87/6.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X1),X5)),X1))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.08 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_79]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10703,plain,
% 5.87/6.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X4,X11),X2))
% 5.87/6.08 | hBOOL(hAPP(hAPP(X5,X7),X12)) ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_10702]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_78,plain,
% 5.87/6.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X1)),X12))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5601_3) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10700,plain,
% 5.87/6.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X1)),X12))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_78]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10701,plain,
% 5.87/6.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 5.87/6.08 | hBOOL(hAPP(hAPP(X5,X12),X7))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_10700]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_75,plain,
% 5.87/6.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.08 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5601_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10694,plain,
% 5.87/6.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 5.87/6.08 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_75]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10695,plain,
% 5.87/6.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X4,X2),X11))
% 5.87/6.08 | hBOOL(hAPP(hAPP(X5,X12),X7)) ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_10694]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_74,plain,
% 5.87/6.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5600_3) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10692,plain,
% 5.87/6.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_74]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10693,plain,
% 5.87/6.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 5.87/6.08 | hBOOL(hAPP(hAPP(X4,X7),X11))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X5,X12),X2)) ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_10692]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_71,plain,
% 5.87/6.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X1)),X1))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.08 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5600_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10686,plain,
% 5.87/6.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X1)),X1))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.08 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_71]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10687,plain,
% 5.87/6.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X5,X12),X2))
% 5.87/6.08 | hBOOL(hAPP(hAPP(X4,X7),X11)) ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_10686]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_70,plain,
% 5.87/6.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X1),X12)),X12))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5599_3) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10684,plain,
% 5.87/6.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X1),X12)),X12))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_70]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10685,plain,
% 5.87/6.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 5.87/6.08 | hBOOL(hAPP(hAPP(X4,X11),X7))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X5,X2),X12)) ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_10684]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_67,plain,
% 5.87/6.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.08 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5599_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10678,plain,
% 5.87/6.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.08 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_67]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10679,plain,
% 5.87/6.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X5,X2),X12))
% 5.87/6.08 | hBOOL(hAPP(hAPP(X4,X11),X7)) ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_10678]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_66,plain,
% 5.87/6.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5598_3) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10676,plain,
% 5.87/6.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_66]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10677,plain,
% 5.87/6.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 5.87/6.08 | hBOOL(hAPP(hAPP(X4,X7),X12))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_10676]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_63,plain,
% 5.87/6.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X1),X5)),X1))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.08 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5598_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10670,plain,
% 5.87/6.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X1),X5)),X1))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.08 | hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_63]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10671,plain,
% 5.87/6.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X5,X11),X2))
% 5.87/6.08 | hBOOL(hAPP(hAPP(X4,X7),X12)) ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_10670]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_62,plain,
% 5.87/6.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X1)),X12))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5597_3) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10668,plain,
% 5.87/6.08 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X1)),X12))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_62]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10669,plain,
% 5.87/6.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 5.87/6.08 | hBOOL(hAPP(hAPP(X4,X12),X7))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_10668]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_59,plain,
% 5.87/6.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.08 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5597_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10662,plain,
% 5.87/6.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 5.87/6.08 | hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_59]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10663,plain,
% 5.87/6.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X5,X2),X11))
% 5.87/6.08 | hBOOL(hAPP(hAPP(X4,X12),X7)) ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_10662]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_34,plain,
% 5.87/6.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),hAPP(X5,X1)),X6)))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X1,X9,X10,X0,X5,X2,X3,X11,X4)
% 5.87/6.08 | X6 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5586_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10612,plain,
% 5.87/6.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),hAPP(X5,X1)),X6)))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X1,X9,X10,X0,X5,X2,X3,X11,X4)
% 5.87/6.08 | X6 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_34]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10613,plain,
% 5.87/6.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X5,X2),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),hAPP(X6,X2)),X11)))
% 5.87/6.08 | X11 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_10612]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_27,plain,
% 5.87/6.08 ( ~ 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)))))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X1,X9,X0,X10,X11,X2,X3,X12,X4)
% 5.87/6.08 | hBOOL(hAPP(hAPP(X0,X1),X5)) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5583_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10598,plain,
% 5.87/6.08 ( ~ 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)))))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X1,X9,X0,X10,X11,X2,X3,X12,X4)
% 5.87/6.08 | hBOOL(hAPP(hAPP(X0,X1),X5)) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_27]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10599,plain,
% 5.87/6.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.08 | ~ 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)))))
% 5.87/6.08 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_10598]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_24,plain,
% 5.87/6.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X2,X5,X6,X0,X7,X8,X9,X10,X11)
% 5.87/6.08 | 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)) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5582_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10592,plain,
% 5.87/6.08 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X2,X5,X6,X0,X7,X8,X9,X10,X11)
% 5.87/6.08 | 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)) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_24]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10593,plain,
% 5.87/6.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.08 | 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))
% 5.87/6.08 | ~ hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_10592]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_3,plain,
% 5.87/6.08 ( ~ 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))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X7,X1,X0,X10,X11,X2,X3,X12,X4)
% 5.87/6.08 | X5 = X7 ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5573_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10550,plain,
% 5.87/6.08 ( ~ 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))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X7,X1,X0,X10,X11,X2,X3,X12,X4)
% 5.87/6.08 | X5 = X7 ),
% 5.87/6.08 inference(copy,[status(esa)],[c_3]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10551,plain,
% 5.87/6.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.08 | ~ 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))
% 5.87/6.08 | X11 = X2 ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_10550]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_0,plain,
% 5.87/6.08 ( ~ 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))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X7,X1,X0,X10,X11,X2,X3,X12,X4)
% 5.87/6.08 | X6 = X7 ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5572_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10544,plain,
% 5.87/6.08 ( ~ 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))
% 5.87/6.08 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X7,X1,X0,X10,X11,X2,X3,X12,X4)
% 5.87/6.08 | X6 = X7 ),
% 5.87/6.08 inference(copy,[status(esa)],[c_0]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_10545,plain,
% 5.87/6.08 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 5.87/6.08 | ~ 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))
% 5.87/6.08 | X12 = X2 ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_10544]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4812,negated_conjecture,
% 5.87/6.08 ( ~ c_Fun_Oinj__on(c_COMBB(c_Suc,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)),tc_nat,tc_nat,tc_nat),v_A,tc_nat,tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_4) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_5724,negated_conjecture,
% 5.87/6.08 ( ~ c_Fun_Oinj__on(c_COMBB(c_Suc,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)),tc_nat,tc_nat,tc_nat),v_A,tc_nat,tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4812]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_5728,negated_conjecture,
% 5.87/6.08 ( ~ c_Fun_Oinj__on(c_COMBB(c_Suc,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)),tc_nat,tc_nat,tc_nat),v_A,tc_nat,tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_5724]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_5729,negated_conjecture,
% 5.87/6.08 ( ~ c_Fun_Oinj__on(c_COMBB(c_Suc,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)),tc_nat,tc_nat,tc_nat),v_A,tc_nat,tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_5728]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_5730,negated_conjecture,
% 5.87/6.08 ( ~ c_Fun_Oinj__on(c_COMBB(c_Suc,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)),tc_nat,tc_nat,tc_nat),v_A,tc_nat,tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_5729]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_20068,negated_conjecture,
% 5.87/6.08 ( ~ c_Fun_Oinj__on(c_COMBB(c_Suc,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)),tc_nat,tc_nat,tc_nat),v_A,tc_nat,tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_5730]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4811,plain,
% 5.87/6.08 ( 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) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1014_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_20066,plain,
% 5.87/6.08 ( 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) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4811]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4810,plain,
% 5.87/6.08 ( 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)) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1015_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_20064,plain,
% 5.87/6.08 ( 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)) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4810]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4797,plain,
% 5.87/6.08 ( 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)) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1022_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_20049,plain,
% 5.87/6.08 ( 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)) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4797]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4788,plain,
% 5.87/6.08 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1031_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_20039,plain,
% 5.87/6.08 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4788]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4785,plain,
% 5.87/6.08 ( 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)) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1034_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_20035,plain,
% 5.87/6.08 ( 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)) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4785]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4781,plain,
% 5.87/6.08 ( c_fequal(X0,X0,X1) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1038_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_20030,plain,
% 5.87/6.08 ( c_fequal(X0,X0,X1) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4781]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4780,plain,
% 5.87/6.08 ( c_Int_OBit0(X0) != c_Int_OBit1(X1) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1039_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_20028,plain,
% 5.87/6.08 ( c_Int_OBit0(X0) != c_Int_OBit1(X1) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4780]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4779,plain,
% 5.87/6.08 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1040_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_20026,plain,
% 5.87/6.08 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4779]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4778,plain,
% 5.87/6.08 ( c_Int_OBit1(X0) != c_Int_OBit0(X1) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1041_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_20024,plain,
% 5.87/6.08 ( c_Int_OBit1(X0) != c_Int_OBit0(X1) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4778]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4768,plain,
% 5.87/6.08 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1051_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_20013,plain,
% 5.87/6.08 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4768]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4767,plain,
% 5.87/6.08 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1052_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_20011,plain,
% 5.87/6.08 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4767]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4760,plain,
% 5.87/6.08 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1059_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_20002,plain,
% 5.87/6.08 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4760]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4758,plain,
% 5.87/6.08 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1061_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19998,plain,
% 5.87/6.08 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4758]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4755,plain,
% 5.87/6.08 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1064_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19994,plain,
% 5.87/6.08 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4755]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4752,plain,
% 5.87/6.08 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),hAPP(c_Suc,X0),tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1067_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19990,plain,
% 5.87/6.08 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),hAPP(c_Suc,X0),tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4752]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4748,plain,
% 5.87/6.08 ( c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X0,tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1071_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19985,plain,
% 5.87/6.08 ( c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X0,tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4748]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4747,plain,
% 5.87/6.08 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1072_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19983,plain,
% 5.87/6.08 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4747]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4745,plain,
% 5.87/6.08 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),X0,tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1074_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19980,plain,
% 5.87/6.08 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),X0,tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4745]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4743,plain,
% 5.87/6.08 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1076_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19976,plain,
% 5.87/6.08 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4743]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4742,plain,
% 5.87/6.08 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1077_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19974,plain,
% 5.87/6.08 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4742]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4740,plain,
% 5.87/6.08 ( c_Fun_Oinj__on(c_Suc,X0,tc_nat,tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1079_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19971,plain,
% 5.87/6.08 ( c_Fun_Oinj__on(c_Suc,X0,tc_nat,tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4740]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4739,plain,
% 5.87/6.08 ( X0 != hAPP(c_Suc,X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1080_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19969,plain,
% 5.87/6.08 ( X0 != hAPP(c_Suc,X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4739]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4738,plain,
% 5.87/6.08 ( hAPP(c_Suc,X0) != X0 ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1081_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19967,plain,
% 5.87/6.08 ( hAPP(c_Suc,X0) != X0 ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4738]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4737,plain,
% 5.87/6.08 ( 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)),X0,tc_nat,tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1082_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19965,plain,
% 5.87/6.08 ( 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)),X0,tc_nat,tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4737]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4736,plain,
% 5.87/6.08 ( c_Int_OBit1(X0) != c_Int_OPls ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1083_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19963,plain,
% 5.87/6.08 ( c_Int_OBit1(X0) != c_Int_OPls ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4736]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4735,plain,
% 5.87/6.08 ( c_Int_OPls != c_Int_OBit1(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1084_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19961,plain,
% 5.87/6.08 ( c_Int_OPls != c_Int_OBit1(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4735]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4734,plain,
% 5.87/6.08 ( ~ 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) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1085_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19959,plain,
% 5.87/6.08 ( ~ 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) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4734]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4731,plain,
% 5.87/6.08 ( 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) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1088_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19955,plain,
% 5.87/6.08 ( 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) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4731]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4723,plain,
% 5.87/6.08 ( c_lessequals(X0,X0,tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1096_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19945,plain,
% 5.87/6.08 ( c_lessequals(X0,X0,tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4723]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4721,plain,
% 5.87/6.08 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X0),tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1098_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19942,plain,
% 5.87/6.08 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X0),tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4721]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4718,plain,
% 5.87/6.08 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X0)),tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1101_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19938,plain,
% 5.87/6.08 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X0)),tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4718]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4715,plain,
% 5.87/6.08 ( ~ 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) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1104_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19934,plain,
% 5.87/6.08 ( ~ 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) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4715]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4714,plain,
% 5.87/6.08 ( 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) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1105_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19932,plain,
% 5.87/6.08 ( 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) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4714]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4713,plain,
% 5.87/6.08 ( c_Int_OBit0(X0) != c_Int_OMin ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1106_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19930,plain,
% 5.87/6.08 ( c_Int_OBit0(X0) != c_Int_OMin ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4713]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4712,plain,
% 5.87/6.08 ( c_Int_OMin != c_Int_OBit0(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1107_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19928,plain,
% 5.87/6.08 ( c_Int_OMin != c_Int_OBit0(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4712]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4711,plain,
% 5.87/6.08 ( c_lessequals(hAPP(c_Suc,X0),hAPP(c_Suc,X0),tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1108_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19926,plain,
% 5.87/6.08 ( c_lessequals(hAPP(c_Suc,X0),hAPP(c_Suc,X0),tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4711]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4709,plain,
% 5.87/6.08 ( c_HOL_Ozero__class_Ozero(tc_nat) != hAPP(c_Suc,X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1110_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19922,plain,
% 5.87/6.08 ( c_HOL_Ozero__class_Ozero(tc_nat) != hAPP(c_Suc,X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4709]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4707,plain,
% 5.87/6.08 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X0),tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1112_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19918,plain,
% 5.87/6.08 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X0),tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4707]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4705,plain,
% 5.87/6.08 ( hAPP(c_Suc,X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1114_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19914,plain,
% 5.87/6.08 ( hAPP(c_Suc,X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4705]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4704,plain,
% 5.87/6.08 ( ~ c_lessequals(hAPP(c_Suc,X0),X0,tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1115_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19912,plain,
% 5.87/6.08 ( ~ c_lessequals(hAPP(c_Suc,X0),X0,tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4704]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4702,plain,
% 5.87/6.08 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1117_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19908,plain,
% 5.87/6.08 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4702]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4700,plain,
% 5.87/6.08 ( c_lessequals(c_HOL_Oone__class_Oone(tc_nat),c_Fact_Ofact__class_Ofact(X0,tc_nat),tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1119_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19905,plain,
% 5.87/6.08 ( c_lessequals(c_HOL_Oone__class_Oone(tc_nat),c_Fact_Ofact__class_Ofact(X0,tc_nat),tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4700]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4698,plain,
% 5.87/6.08 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1121_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19901,plain,
% 5.87/6.08 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4698]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4694,plain,
% 5.87/6.08 ( c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),c_Fact_Ofact__class_Ofact(X0,tc_nat),tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1125_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19896,plain,
% 5.87/6.08 ( c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),c_Fact_Ofact__class_Ofact(X0,tc_nat),tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4694]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4693,plain,
% 5.87/6.08 ( c_Fact_Ofact__class_Ofact(X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1126_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19894,plain,
% 5.87/6.08 ( c_Fact_Ofact__class_Ofact(X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4693]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4692,plain,
% 5.87/6.08 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1127_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19892,plain,
% 5.87/6.08 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4692]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4690,plain,
% 5.87/6.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,X0),tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1129_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19888,plain,
% 5.87/6.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,X0),tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4690]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4684,plain,
% 5.87/6.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Fact_Ofact__class_Ofact(X0,tc_nat),tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1135_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19881,plain,
% 5.87/6.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Fact_Ofact__class_Ofact(X0,tc_nat),tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4684]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4679,plain,
% 5.87/6.08 ( class_Int_Onumber(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1140_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19875,plain,
% 5.87/6.08 ( class_Int_Onumber(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4679]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4678,plain,
% 5.87/6.08 ( class_Power_Opower(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1141_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19873,plain,
% 5.87/6.08 ( class_Power_Opower(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4678]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4677,plain,
% 5.87/6.08 ( class_Int_Onumber__ring(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1142_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19871,plain,
% 5.87/6.08 ( class_Int_Onumber__ring(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4677]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4676,plain,
% 5.87/6.08 ( class_Int_Oring__char__0(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1143_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19869,plain,
% 5.87/6.08 ( class_Int_Oring__char__0(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4676]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4675,plain,
% 5.87/6.08 ( class_Orderings_Oorder(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1144_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19867,plain,
% 5.87/6.08 ( class_Orderings_Oorder(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4675]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4674,plain,
% 5.87/6.08 ( class_Divides_Oring__div(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1145_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19865,plain,
% 5.87/6.08 ( class_Divides_Oring__div(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4674]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4673,plain,
% 5.87/6.08 ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1146_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19863,plain,
% 5.87/6.08 ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4673]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4672,plain,
% 5.87/6.08 ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1147_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19861,plain,
% 5.87/6.08 ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4672]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4671,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oidom(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1148_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19859,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oidom(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4671]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4670,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oring(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1149_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19857,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oring(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4670]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4669,plain,
% 5.87/6.08 ( class_Divides_Osemiring__div(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1150_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19855,plain,
% 5.87/6.08 ( class_Divides_Osemiring__div(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4669]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4668,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oring__1(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1151_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19853,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oring__1(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4668]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4667,plain,
% 5.87/6.08 ( class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1152_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19851,plain,
% 5.87/6.08 ( class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4667]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4666,plain,
% 5.87/6.08 ( class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1153_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19849,plain,
% 5.87/6.08 ( class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4666]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4665,plain,
% 5.87/6.08 ( class_Ring__and__Field_Osemiring(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1154_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19847,plain,
% 5.87/6.08 ( class_Ring__and__Field_Osemiring(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4665]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4664,plain,
% 5.87/6.08 ( class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1155_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19845,plain,
% 5.87/6.08 ( class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4664]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4663,plain,
% 5.87/6.08 ( class_Ring__and__Field_Omult__mono(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1156_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19843,plain,
% 5.87/6.08 ( class_Ring__and__Field_Omult__mono(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4663]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4662,plain,
% 5.87/6.08 ( class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1157_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19841,plain,
% 5.87/6.08 ( class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4662]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4661,plain,
% 5.87/6.08 ( class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1158_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19839,plain,
% 5.87/6.08 ( class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4661]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4660,plain,
% 5.87/6.08 ( class_Ring__and__Field_Omult__mono1(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1159_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19837,plain,
% 5.87/6.08 ( class_Ring__and__Field_Omult__mono1(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4660]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4659,plain,
% 5.87/6.08 ( class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1160_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19835,plain,
% 5.87/6.08 ( class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4659]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4658,plain,
% 5.87/6.08 ( class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1161_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19833,plain,
% 5.87/6.08 ( class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4658]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4657,plain,
% 5.87/6.08 ( class_Ring__and__Field_Ocomm__ring__1(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1162_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19831,plain,
% 5.87/6.08 ( class_Ring__and__Field_Ocomm__ring__1(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4657]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4656,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1163_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19829,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4656]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4655,plain,
% 5.87/6.08 ( class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1164_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19827,plain,
% 5.87/6.08 ( class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4655]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4654,plain,
% 5.87/6.08 ( class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1165_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19825,plain,
% 5.87/6.08 ( class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4654]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4653,plain,
% 5.87/6.08 ( class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1166_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19823,plain,
% 5.87/6.08 ( class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4653]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4652,plain,
% 5.87/6.08 ( class_Ring__and__Field_Opordered__ring(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1167_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19821,plain,
% 5.87/6.08 ( class_Ring__and__Field_Opordered__ring(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4652]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4651,plain,
% 5.87/6.08 ( class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1168_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19819,plain,
% 5.87/6.08 ( class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4651]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4650,plain,
% 5.87/6.08 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1169_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19817,plain,
% 5.87/6.08 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4650]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4649,plain,
% 5.87/6.08 ( class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1170_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19815,plain,
% 5.87/6.08 ( class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4649]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4648,plain,
% 5.87/6.08 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1171_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19813,plain,
% 5.87/6.08 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4648]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4647,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1172_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19811,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4647]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4646,plain,
% 5.87/6.08 ( class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1173_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19809,plain,
% 5.87/6.08 ( class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4646]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4645,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oordered__semiring(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1174_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19807,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oordered__semiring(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4645]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4644,plain,
% 5.87/6.08 ( class_Ring__and__Field_Opordered__semiring(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1175_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19805,plain,
% 5.87/6.08 ( class_Ring__and__Field_Opordered__semiring(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4644]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4643,plain,
% 5.87/6.08 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1176_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19803,plain,
% 5.87/6.08 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4643]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4642,plain,
% 5.87/6.08 ( class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1177_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19801,plain,
% 5.87/6.08 ( class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4642]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4641,plain,
% 5.87/6.08 ( class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1178_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19799,plain,
% 5.87/6.08 ( class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4641]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4640,plain,
% 5.87/6.08 ( class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1179_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19797,plain,
% 5.87/6.08 ( class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4640]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4639,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1180_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19795,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4639]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4638,plain,
% 5.87/6.08 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1181_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19793,plain,
% 5.87/6.08 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4638]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4637,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1182_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19791,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4637]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4636,plain,
% 5.87/6.08 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1183_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19789,plain,
% 5.87/6.08 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4636]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4635,plain,
% 5.87/6.08 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1184_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19787,plain,
% 5.87/6.08 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4635]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4634,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1185_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19785,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4634]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4633,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1186_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19783,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4633]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4632,plain,
% 5.87/6.08 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1187_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19781,plain,
% 5.87/6.08 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4632]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4631,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1188_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19779,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4631]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4630,plain,
% 5.87/6.08 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1189_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19777,plain,
% 5.87/6.08 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4630]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4629,plain,
% 5.87/6.08 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1190_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19775,plain,
% 5.87/6.08 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4629]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4628,plain,
% 5.87/6.08 ( class_Int_Onumber(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1191_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19773,plain,
% 5.87/6.08 ( class_Int_Onumber(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4628]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4627,plain,
% 5.87/6.08 ( class_Power_Opower(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1192_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19771,plain,
% 5.87/6.08 ( class_Power_Opower(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4627]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4626,plain,
% 5.87/6.08 ( class_Orderings_Oorder(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1193_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19769,plain,
% 5.87/6.08 ( class_Orderings_Oorder(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4626]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4625,plain,
% 5.87/6.08 ( class_Orderings_Olinorder(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1194_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19767,plain,
% 5.87/6.08 ( class_Orderings_Olinorder(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4625]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4624,plain,
% 5.87/6.08 ( class_Orderings_Opreorder(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1195_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19765,plain,
% 5.87/6.08 ( class_Orderings_Opreorder(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4624]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4623,plain,
% 5.87/6.08 ( class_Divides_Osemiring__div(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1196_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19763,plain,
% 5.87/6.08 ( class_Divides_Osemiring__div(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4623]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4622,plain,
% 5.87/6.08 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1197_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19761,plain,
% 5.87/6.08 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4622]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4621,plain,
% 5.87/6.08 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1198_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19759,plain,
% 5.87/6.08 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4621]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4620,plain,
% 5.87/6.08 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1199_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19757,plain,
% 5.87/6.08 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4620]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4619,plain,
% 5.87/6.08 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1200_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19755,plain,
% 5.87/6.08 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4619]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4618,plain,
% 5.87/6.08 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1201_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19753,plain,
% 5.87/6.08 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4618]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4617,plain,
% 5.87/6.08 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1202_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19751,plain,
% 5.87/6.08 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4617]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4616,plain,
% 5.87/6.08 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1203_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19749,plain,
% 5.87/6.08 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4616]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4615,plain,
% 5.87/6.08 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1204_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19747,plain,
% 5.87/6.08 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4615]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4614,plain,
% 5.87/6.08 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1205_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19745,plain,
% 5.87/6.08 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4614]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4613,plain,
% 5.87/6.08 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1206_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19743,plain,
% 5.87/6.08 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4613]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4612,plain,
% 5.87/6.08 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1207_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19741,plain,
% 5.87/6.08 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4612]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4611,plain,
% 5.87/6.08 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1208_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19739,plain,
% 5.87/6.08 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4611]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4610,plain,
% 5.87/6.08 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1209_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19737,plain,
% 5.87/6.08 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4610]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4609,plain,
% 5.87/6.08 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1210_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19735,plain,
% 5.87/6.08 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4609]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4608,plain,
% 5.87/6.08 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1211_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19733,plain,
% 5.87/6.08 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4608]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4607,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1212_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19731,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4607]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4606,plain,
% 5.87/6.08 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1213_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19729,plain,
% 5.87/6.08 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4606]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4605,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1214_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19727,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4605]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4604,plain,
% 5.87/6.08 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1215_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19725,plain,
% 5.87/6.08 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4604]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4603,plain,
% 5.87/6.08 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1216_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19723,plain,
% 5.87/6.08 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4603]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4602,plain,
% 5.87/6.08 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1217_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19721,plain,
% 5.87/6.08 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4602]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4601,plain,
% 5.87/6.08 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1218_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19719,plain,
% 5.87/6.08 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4601]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4600,plain,
% 5.87/6.08 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1219_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19717,plain,
% 5.87/6.08 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4600]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4599,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1220_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19715,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4599]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4598,plain,
% 5.87/6.08 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1221_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19713,plain,
% 5.87/6.08 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4598]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4597,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1222_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19711,plain,
% 5.87/6.08 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4597]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4596,plain,
% 5.87/6.08 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1223_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19709,plain,
% 5.87/6.08 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4596]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4595,plain,
% 5.87/6.08 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1224_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19707,plain,
% 5.87/6.08 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4595]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4582,plain,
% 5.87/6.08 ( 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) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1237_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19693,plain,
% 5.87/6.08 ( 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) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4582]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4578,plain,
% 5.87/6.08 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1241_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19688,plain,
% 5.87/6.08 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4578]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4577,plain,
% 5.87/6.08 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1242_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19686,plain,
% 5.87/6.08 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4577]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4576,plain,
% 5.87/6.08 ( c_Int_OMin != c_Int_OPls ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1243_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19684,plain,
% 5.87/6.08 ( c_Int_OMin != c_Int_OPls ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4576]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4575,plain,
% 5.87/6.08 ( c_Int_OPls != c_Int_OMin ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1244_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19682,plain,
% 5.87/6.08 ( c_Int_OPls != c_Int_OMin ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4575]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4571,plain,
% 5.87/6.08 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1248_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19677,plain,
% 5.87/6.08 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4571]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4570,plain,
% 5.87/6.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1249_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19675,plain,
% 5.87/6.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4570]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4564,plain,
% 5.87/6.08 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_1255_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19668,plain,
% 5.87/6.08 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4564]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4558,plain,
% 5.87/6.08 ( c_Int_OBit0(X0) != c_Int_OPls | c_Int_OPls = X0 ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6964_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19660,plain,
% 5.87/6.08 ( c_Int_OBit0(X0) != c_Int_OPls | c_Int_OPls = X0 ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4558]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19661,plain,
% 5.87/6.08 ( c_Int_OPls = X0 | c_Int_OBit0(X0) != c_Int_OPls ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_19660]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4556,plain,
% 5.87/6.08 ( c_Int_OBit0(X0) != c_Int_OPls | X0 = c_Int_OPls ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6963_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19656,plain,
% 5.87/6.08 ( c_Int_OBit0(X0) != c_Int_OPls | X0 = c_Int_OPls ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4556]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4554,plain,
% 5.87/6.08 ( c_Int_OBit1(X0) != c_Int_OMin | c_Int_OMin = X0 ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6962_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19652,plain,
% 5.87/6.08 ( c_Int_OBit1(X0) != c_Int_OMin | c_Int_OMin = X0 ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4554]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4552,plain,
% 5.87/6.08 ( c_Int_OBit1(X0) != c_Int_OMin | X0 = c_Int_OMin ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6961_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19648,plain,
% 5.87/6.08 ( c_Int_OBit1(X0) != c_Int_OMin | X0 = c_Int_OMin ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4552]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4550,plain,
% 5.87/6.08 ( c_Int_OBit1(X0) != c_Int_OBit1(X1) | X0 = X1 ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6960_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19644,plain,
% 5.87/6.08 ( c_Int_OBit1(X0) != c_Int_OBit1(X1) | X0 = X1 ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4550]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4548,plain,
% 5.87/6.08 ( c_Int_OBit0(X0) != c_Int_OBit0(X1) | X0 = X1 ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6959_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19640,plain,
% 5.87/6.08 ( c_Int_OBit0(X0) != c_Int_OBit0(X1) | X0 = X1 ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4548]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4544,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.87/6.08 | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6957_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19632,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.87/6.08 | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4544]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4540,plain,
% 5.87/6.08 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.08 | c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6955_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19624,plain,
% 5.87/6.08 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.08 | c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4540]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4538,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 5.87/6.08 | c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6954_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19620,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 5.87/6.08 | c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4538]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19621,plain,
% 5.87/6.08 ( c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.08 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_19620]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4534,plain,
% 5.87/6.08 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.08 | c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0) = c_HOL_Oone__class_Oone(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6952_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19612,plain,
% 5.87/6.08 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.08 | c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0) = c_HOL_Oone__class_Oone(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4534]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4529,plain,
% 5.87/6.08 ( ~ class_Orderings_Oorder(X0) | class_Orderings_Oorder(tc_fun(X1,X0)) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6950_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19602,plain,
% 5.87/6.08 ( ~ class_Orderings_Oorder(X0) | class_Orderings_Oorder(tc_fun(X1,X0)) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4529]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19603,plain,
% 5.87/6.08 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_19602]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4527,plain,
% 5.87/6.08 ( ~ class_Orderings_Opreorder(X0)
% 5.87/6.08 | class_Orderings_Opreorder(tc_fun(X1,X0)) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6949_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19598,plain,
% 5.87/6.08 ( ~ class_Orderings_Opreorder(X0)
% 5.87/6.08 | class_Orderings_Opreorder(tc_fun(X1,X0)) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4527]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19599,plain,
% 5.87/6.08 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 5.87/6.08 | ~ class_Orderings_Opreorder(X1) ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_19598]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4525,plain,
% 5.87/6.08 ( ~ class_Lattices_Oboolean__algebra(X0)
% 5.87/6.08 | class_Lattices_Oboolean__algebra(tc_fun(X1,X0)) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6948_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19594,plain,
% 5.87/6.08 ( ~ class_Lattices_Oboolean__algebra(X0)
% 5.87/6.08 | class_Lattices_Oboolean__algebra(tc_fun(X1,X0)) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4525]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19595,plain,
% 5.87/6.08 ( class_Lattices_Oboolean__algebra(tc_fun(X0,X1))
% 5.87/6.08 | ~ class_Lattices_Oboolean__algebra(X1) ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_19594]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4523,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 5.87/6.08 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6947_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19590,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 5.87/6.08 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4523]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4519,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.08 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6945_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19582,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.08 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4519]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4517,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.08 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_HOL_Oone__class_Oone(X0)) = c_HOL_Oone__class_Oone(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6944_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19578,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.08 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_HOL_Oone__class_Oone(X0)) = c_HOL_Oone__class_Oone(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4517]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4515,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.08 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6943_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19574,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.08 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4515]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4513,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 5.87/6.08 | ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6942_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19570,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 5.87/6.08 | ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4513]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19571,plain,
% 5.87/6.08 ( ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0)
% 5.87/6.08 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_19570]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4509,plain,
% 5.87/6.08 ( hAPP(c_Suc,X0) != hAPP(c_Suc,X1) | X0 = X1 ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6940_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19562,plain,
% 5.87/6.08 ( hAPP(c_Suc,X0) != hAPP(c_Suc,X1) | X0 = X1 ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4509]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4507,plain,
% 5.87/6.08 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.08 | c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0),X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6939_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19558,plain,
% 5.87/6.08 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.08 | c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0),X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4507]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4504,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.08 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.08 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_HOL_Oone__class_Oone(X0)) = c_HOL_Oone__class_Oone(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6938_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19552,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.08 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.08 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_HOL_Oone__class_Oone(X0)) = c_HOL_Oone__class_Oone(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4504]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4501,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.08 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.08 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6937_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19546,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.08 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.08 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4501]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4497,plain,
% 5.87/6.08 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.08 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6935_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19538,plain,
% 5.87/6.08 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.08 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4497]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4494,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 5.87/6.08 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) != X1
% 5.87/6.08 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6934_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19532,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 5.87/6.08 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) != X1
% 5.87/6.08 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4494]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4492,plain,
% 5.87/6.08 ( c_Parity_Oeven__odd__class_Oeven(hAPP(c_Suc,X0),tc_nat)
% 5.87/6.08 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6933_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19528,plain,
% 5.87/6.08 ( c_Parity_Oeven__odd__class_Oeven(hAPP(c_Suc,X0),tc_nat)
% 5.87/6.08 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4492]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4489,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.08 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) != c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.08 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6932_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19522,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.08 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) != c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.08 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4489]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4486,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.08 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) != c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.08 | c_HOL_Ozero__class_Ozero(X0) = X1 ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6931_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19516,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.08 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) != c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.08 | c_HOL_Ozero__class_Ozero(X0) = X1 ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4486]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4483,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.08 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) != c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.08 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6930_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19510,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.08 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) != c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.08 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4483]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4479,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.08 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.08 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) != c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.08 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6929_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19502,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.08 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.08 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) != c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.08 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4479]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4475,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.08 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.08 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) != c_HOL_Oone__class_Oone(X0)
% 5.87/6.08 | X1 = c_HOL_Oone__class_Oone(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6928_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19494,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.08 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.08 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) != c_HOL_Oone__class_Oone(X0)
% 5.87/6.08 | X1 = c_HOL_Oone__class_Oone(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4475]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4473,plain,
% 5.87/6.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.08 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6927_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19490,plain,
% 5.87/6.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.08 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4473]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4471,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 5.87/6.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = X1 ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6926_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19486,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 5.87/6.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = X1 ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4471]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4465,plain,
% 5.87/6.08 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6924_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19474,plain,
% 5.87/6.08 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4465]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19475,plain,
% 5.87/6.08 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_19474]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4463,plain,
% 5.87/6.08 ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6923_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19470,plain,
% 5.87/6.08 ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4463]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19471,plain,
% 5.87/6.08 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_19470]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4461,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.87/6.08 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1 ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6922_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19466,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.87/6.08 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1 ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4461]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4459,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.08 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1 ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6921_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19462,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.08 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1 ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4459]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4457,plain,
% 5.87/6.08 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.08 | c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6920_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19458,plain,
% 5.87/6.08 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.08 | c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4457]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4455,plain,
% 5.87/6.08 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.08 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0),X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6919_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19454,plain,
% 5.87/6.08 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.08 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0),X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4455]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4451,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.08 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6917_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19446,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.08 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4451]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4449,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.87/6.08 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6916_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19442,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.87/6.08 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4449]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4447,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1 ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6915_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19438,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1 ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4447]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4445,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.87/6.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1 ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6914_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19434,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.87/6.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1 ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4445]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4441,plain,
% 5.87/6.08 ( ~ class_Lattices_Oboolean__algebra(X0)
% 5.87/6.08 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = X1 ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6912_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19426,plain,
% 5.87/6.08 ( ~ class_Lattices_Oboolean__algebra(X0)
% 5.87/6.08 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = X1 ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4441]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4435,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.08 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = X1 ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6909_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19414,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.08 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = X1 ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4435]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4433,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.08 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6908_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19410,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.08 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4433]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4431,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.87/6.08 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6907_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19406,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.87/6.08 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4431]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4429,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.87/6.08 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6906_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19402,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.87/6.08 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4429]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4427,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.08 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6905_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19398,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.08 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4427]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4425,plain,
% 5.87/6.08 ( ~ class_Power_Opower(X0)
% 5.87/6.08 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6904_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19394,plain,
% 5.87/6.08 ( ~ class_Power_Opower(X0)
% 5.87/6.08 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4425]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4423,plain,
% 5.87/6.08 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.08 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6903_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19390,plain,
% 5.87/6.08 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.08 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4423]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4421,plain,
% 5.87/6.08 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.08 | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6902_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19386,plain,
% 5.87/6.08 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.08 | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4421]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4419,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.08 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6901_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19382,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.08 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4419]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4417,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.08 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6900_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19378,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.08 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4417]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4415,plain,
% 5.87/6.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.08 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6899_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19374,plain,
% 5.87/6.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.08 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4415]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4413,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6898_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19370,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4413]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4409,plain,
% 5.87/6.08 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.87/6.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6896_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19362,plain,
% 5.87/6.08 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.87/6.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4409]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4407,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 5.87/6.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6895_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19358,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 5.87/6.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4407]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4405,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 5.87/6.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6894_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19354,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 5.87/6.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4405]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4402,plain,
% 5.87/6.08 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.08 | c_Divides_Odiv__class_Odiv(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 5.87/6.08 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6893_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19348,plain,
% 5.87/6.08 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.08 | c_Divides_Odiv__class_Odiv(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 5.87/6.08 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4402]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4396,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.08 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.08 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6891_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19336,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.08 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.08 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4396]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19337,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.08 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 5.87/6.08 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 inference(rewriting,[status(thm)],[c_19336]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4394,plain,
% 5.87/6.08 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.08 | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6890_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19332,plain,
% 5.87/6.08 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.08 | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4394]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4391,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.08 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)) = X1
% 5.87/6.08 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6889_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19326,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.08 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)) = X1
% 5.87/6.08 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4391]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4389,plain,
% 5.87/6.08 ( ~ class_RealVector_Oreal__normed__field(X0)
% 5.87/6.08 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6888_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19322,plain,
% 5.87/6.08 ( ~ class_RealVector_Oreal__normed__field(X0)
% 5.87/6.08 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4389]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4387,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.08 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6887_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19318,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.08 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4387]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4385,plain,
% 5.87/6.08 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.08 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6886_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19314,plain,
% 5.87/6.08 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.08 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4385]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4383,plain,
% 5.87/6.08 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.08 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6885_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19310,plain,
% 5.87/6.08 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.08 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4383]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4381,plain,
% 5.87/6.08 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.08 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6884_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19306,plain,
% 5.87/6.08 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.08 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4381]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4377,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6882_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19298,plain,
% 5.87/6.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4377]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4375,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 5.87/6.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6881_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19294,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 5.87/6.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4375]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4373,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.87/6.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6880_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19290,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.87/6.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 5.87/6.08 inference(copy,[status(esa)],[c_4373]) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_4369,plain,
% 5.87/6.08 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.87/6.08 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 5.87/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6878_0) ).
% 5.87/6.08
% 5.87/6.08 cnf(c_19282,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4369]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4367,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6877_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19278,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4367]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4365,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6876_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19274,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4365]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4362,plain,
% 5.87/6.09 ( ~ class_Lattices_Oboolean__algebra(X0)
% 5.87/6.09 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)
% 5.87/6.09 | X1 = X2 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6875_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19268,plain,
% 5.87/6.09 ( ~ class_Lattices_Oboolean__algebra(X0)
% 5.87/6.09 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)
% 5.87/6.09 | X1 = X2 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4362]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4359,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.09 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)
% 5.87/6.09 | X1 = X2 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6874_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19262,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.09 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)
% 5.87/6.09 | X1 = X2 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4359]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4350,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.09 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)) = X1 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6871_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19244,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.09 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)) = X1 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4350]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4348,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6870_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19240,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4348]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19241,plain,
% 5.87/6.09 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 5.87/6.09 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_19240]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4346,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.09 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6869_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19236,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.09 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4346]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19237,plain,
% 5.87/6.09 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 5.87/6.09 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_19236]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4340,plain,
% 5.87/6.09 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6866_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19224,plain,
% 5.87/6.09 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4340]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4338,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6865_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19220,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4338]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4336,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6864_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19216,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4336]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4334,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6863_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19212,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4334]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4332,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.87/6.09 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oone__class_Oone(X0)),X1) = c_HOL_Oone__class_Oone(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6862_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19208,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.87/6.09 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oone__class_Oone(X0)),X1) = c_HOL_Oone__class_Oone(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4332]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4330,plain,
% 5.87/6.09 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(c_Suc,X0),tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6861_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19204,plain,
% 5.87/6.09 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(c_Suc,X0),tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4330]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19205,plain,
% 5.87/6.09 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(c_Suc,X0),tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_19204]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4328,plain,
% 5.87/6.09 ( ~ class_Power_Opower(X0)
% 5.87/6.09 | c_Power_Opower_Opower(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X0),X0) = c_Power_Opower__class_Opower(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6860_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19200,plain,
% 5.87/6.09 ( ~ class_Power_Opower(X0)
% 5.87/6.09 | c_Power_Opower_Opower(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X0),X0) = c_Power_Opower__class_Opower(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4328]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4324,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6858_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19192,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4324]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4320,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.09 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6857_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19184,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.09 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4320]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4311,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.09 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6854_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19166,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.09 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4311]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4307,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.09 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) != hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)
% 5.87/6.09 | X1 = X2 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6853_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19158,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.09 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) != hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)
% 5.87/6.09 | X1 = X2 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4307]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4305,plain,
% 5.87/6.09 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.09 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0),X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6852_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19154,plain,
% 5.87/6.09 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.09 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0),X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4305]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4299,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 5.87/6.09 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6849_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19142,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 5.87/6.09 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4299]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4297,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 5.87/6.09 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6848_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19138,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 5.87/6.09 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4297]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4295,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6847_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19134,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4295]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4293,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6846_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19130,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4293]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4290,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != X0
% 5.87/6.09 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6845_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19124,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != X0
% 5.87/6.09 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4290]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4288,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.87/6.09 | 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) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6844_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19120,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.87/6.09 | 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) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4288]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4286,plain,
% 5.87/6.09 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0)) = X1 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6843_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19116,plain,
% 5.87/6.09 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0)) = X1 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4286]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4282,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.09 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) != hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)
% 5.87/6.09 | X1 = X2
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6842_1) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19108,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.09 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) != hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)
% 5.87/6.09 | X1 = X2
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4282]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19109,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.09 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) != hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X1 = X2 ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_19108]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4276,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6840_1) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19096,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4276]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4275,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6840_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19094,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4275]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4272,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.09 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6839_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19088,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.09 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4272]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4263,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.09 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6836_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19070,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.09 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4263]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4261,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.09 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6835_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19066,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.09 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4261]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4259,plain,
% 5.87/6.09 ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6834_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19062,plain,
% 5.87/6.09 ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4259]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4257,plain,
% 5.87/6.09 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
% 5.87/6.09 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6833_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19058,plain,
% 5.87/6.09 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
% 5.87/6.09 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4257]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4255,plain,
% 5.87/6.09 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)) = X1 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6832_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19054,plain,
% 5.87/6.09 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)) = X1 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4255]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4250,plain,
% 5.87/6.09 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6830_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19044,plain,
% 5.87/6.09 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4250]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19045,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_19044]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4248,plain,
% 5.87/6.09 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6829_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19040,plain,
% 5.87/6.09 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4248]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19041,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_19040]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4246,plain,
% 5.87/6.09 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6828_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19036,plain,
% 5.87/6.09 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4246]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19037,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_19036]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4231,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6824_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19006,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4231]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4228,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 5.87/6.09 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6823_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_19000,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 5.87/6.09 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4228]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4225,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.09 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X1 = X2 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6822_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18994,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.09 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X1 = X2 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4225]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4222,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.87/6.09 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X1 = X2 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6821_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18988,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.87/6.09 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X1 = X2 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4222]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4220,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6820_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18984,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4220]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4212,plain,
% 5.87/6.09 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6817_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18968,plain,
% 5.87/6.09 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4212]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4202,plain,
% 5.87/6.09 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.09 | 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) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6814_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18948,plain,
% 5.87/6.09 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.09 | 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) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4202]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4197,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6812_1) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18938,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4197]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4196,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 5.87/6.09 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6812_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18936,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 5.87/6.09 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4196]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4191,plain,
% 5.87/6.09 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0)),X1) = X1 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6810_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18926,plain,
% 5.87/6.09 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0)),X1) = X1 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4191]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4184,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6808_1) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18912,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4184]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4183,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6808_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18910,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4183]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4180,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6807_1) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18904,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4180]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4179,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6807_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18902,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4179]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4177,plain,
% 5.87/6.09 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6806_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18898,plain,
% 5.87/6.09 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4177]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4174,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)) = c_HOL_Oone__class_Oone(X0)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6805_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18892,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)) = c_HOL_Oone__class_Oone(X0)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4174]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4170,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.09 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 5.87/6.09 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X1 = X2 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6804_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18884,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.09 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 5.87/6.09 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X1 = X2 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4170]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4160,plain,
% 5.87/6.09 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 5.87/6.09 | X1 = X0 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6801_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18864,plain,
% 5.87/6.09 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 5.87/6.09 | X1 = X0 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4160]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4156,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6799_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18856,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4156]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4154,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6798_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18852,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4154]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4150,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6796_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18844,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4150]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4148,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.09 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6795_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18840,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.09 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4148]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18841,plain,
% 5.87/6.09 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.09 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_18840]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4146,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6794_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18836,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4146]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18837,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.09 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_18836]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4144,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 5.87/6.09 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6793_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18832,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 5.87/6.09 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4144]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4142,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 5.87/6.09 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6792_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18828,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 5.87/6.09 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4142]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4139,plain,
% 5.87/6.09 ( ~ class_Orderings_Olinorder(X0)
% 5.87/6.09 | c_lessequals(X1,X2,X0)
% 5.87/6.09 | c_lessequals(X2,X1,X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6791_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18822,plain,
% 5.87/6.09 ( ~ class_Orderings_Olinorder(X0)
% 5.87/6.09 | c_lessequals(X1,X2,X0)
% 5.87/6.09 | c_lessequals(X2,X1,X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4139]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18823,plain,
% 5.87/6.09 ( c_lessequals(X0,X1,X2)
% 5.87/6.09 | c_lessequals(X1,X0,X2)
% 5.87/6.09 | ~ class_Orderings_Olinorder(X2) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_18822]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4130,plain,
% 5.87/6.09 ( ~ class_Orderings_Olinorder(X0)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X1,X1,X0)
% 5.87/6.09 | c_lessequals(X1,X1,X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6788_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18804,plain,
% 5.87/6.09 ( ~ class_Orderings_Olinorder(X0)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X1,X1,X0)
% 5.87/6.09 | c_lessequals(X1,X1,X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4130]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18805,plain,
% 5.87/6.09 ( c_lessequals(X0,X0,X1)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 5.87/6.09 | ~ class_Orderings_Olinorder(X1) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_18804]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4127,plain,
% 5.87/6.09 ( ~ class_Orderings_Olinorder(X0)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.09 | c_lessequals(X2,X1,X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6787_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18798,plain,
% 5.87/6.09 ( ~ class_Orderings_Olinorder(X0)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.09 | c_lessequals(X2,X1,X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4127]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18799,plain,
% 5.87/6.09 ( c_lessequals(X0,X1,X2)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.87/6.09 | ~ class_Orderings_Olinorder(X2) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_18798]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4124,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6786_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18792,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4124]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4121,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) = X2 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6785_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18786,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) = X2 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4121]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4118,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Oone__class_Oone(X0)
% 5.87/6.09 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) = X2 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6784_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18780,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Oone__class_Oone(X0)
% 5.87/6.09 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) = X2 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4118]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4109,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 5.87/6.09 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6781_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18762,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 5.87/6.09 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4109]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18763,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 5.87/6.09 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 5.87/6.09 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_18762]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4106,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 5.87/6.09 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6780_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18756,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 5.87/6.09 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4106]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4065,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 5.87/6.09 | 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) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6770_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18674,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 5.87/6.09 | 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) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4065]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4063,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 5.87/6.09 | 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) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6769_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18670,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 5.87/6.09 | 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) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4063]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4061,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.09 | 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) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6768_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18666,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.09 | 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) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4061]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4059,plain,
% 5.87/6.09 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6767_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18662,plain,
% 5.87/6.09 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4059]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18663,plain,
% 5.87/6.09 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_18662]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4057,plain,
% 5.87/6.09 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6766_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18658,plain,
% 5.87/6.09 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4057]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18659,plain,
% 5.87/6.09 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_18658]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4055,plain,
% 5.87/6.09 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)),X1) = X1 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6765_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18654,plain,
% 5.87/6.09 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)),X1) = X1 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4055]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4043,plain,
% 5.87/6.09 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0)),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6762_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18630,plain,
% 5.87/6.09 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0)),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4043]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4041,plain,
% 5.87/6.09 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) | hAPP(hAPP(X1,X0),X3) = X3 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6761_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18626,plain,
% 5.87/6.09 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) | hAPP(hAPP(X1,X0),X3) = X3 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4041]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4039,plain,
% 5.87/6.09 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) | hAPP(hAPP(X1,X3),X0) = X3 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6760_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18622,plain,
% 5.87/6.09 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) | hAPP(hAPP(X1,X3),X0) = X3 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4039]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4031,plain,
% 5.87/6.09 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6757_1) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18606,plain,
% 5.87/6.09 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4031]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4030,plain,
% 5.87/6.09 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6757_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18604,plain,
% 5.87/6.09 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4030]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4027,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.09 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1))
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6756_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18598,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.09 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1))
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4027]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4025,plain,
% 5.87/6.09 ( c_lessequals(hAPP(c_Suc,X0),X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6755_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18594,plain,
% 5.87/6.09 ( c_lessequals(hAPP(c_Suc,X0),X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4025]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4021,plain,
% 5.87/6.09 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6753_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18586,plain,
% 5.87/6.09 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4021]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4018,plain,
% 5.87/6.09 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.87/6.09 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0)),X1) = c_HOL_Oone__class_Oone(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6752_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18580,plain,
% 5.87/6.09 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.87/6.09 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0)),X1) = c_HOL_Oone__class_Oone(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4018]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4005,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 5.87/6.09 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 5.87/6.09 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6748_1) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18554,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 5.87/6.09 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 5.87/6.09 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4005]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4004,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 5.87/6.09 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 5.87/6.09 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6748_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18552,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 5.87/6.09 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 5.87/6.09 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4004]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_4001,plain,
% 5.87/6.09 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.09 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0)),X1) = c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6747_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18546,plain,
% 5.87/6.09 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.09 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0)),X1) = c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_4001]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18547,plain,
% 5.87/6.09 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.87/6.09 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0)),X1) = c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_18546]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3998,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.09 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6746_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18540,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.09 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3998]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3996,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 5.87/6.09 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6745_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18536,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 5.87/6.09 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3996]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3976,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6740_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18496,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3976]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18497,plain,
% 5.87/6.09 ( c_lessequals(X0,X1,tc_nat) | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_18496]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3970,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.09 | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6738_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18484,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.09 | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3970]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3968,plain,
% 5.87/6.09 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.09 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6737_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18480,plain,
% 5.87/6.09 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.09 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3968]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3966,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.09 | c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6736_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18476,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.09 | c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3966]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3957,plain,
% 5.87/6.09 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.09 | X0 = X1 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6733_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18458,plain,
% 5.87/6.09 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.09 | X0 = X1 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3957]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3953,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6731_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18450,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3953]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3951,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6730_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18446,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3951]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3949,plain,
% 5.87/6.09 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | c_lessequals(X0,X1,tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6729_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18442,plain,
% 5.87/6.09 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | c_lessequals(X0,X1,tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3949]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18443,plain,
% 5.87/6.09 ( c_lessequals(X0,X1,tc_nat)
% 5.87/6.09 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_18442]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3947,plain,
% 5.87/6.09 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6728_1) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18438,plain,
% 5.87/6.09 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3947]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3946,plain,
% 5.87/6.09 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6728_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18436,plain,
% 5.87/6.09 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3946]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3939,plain,
% 5.87/6.09 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6725_2) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18422,plain,
% 5.87/6.09 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3939]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3934,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),X1) = c_HOL_Oone__class_Oone(X0)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6724_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18412,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),X1) = c_HOL_Oone__class_Oone(X0)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3934]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3931,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),X1) = c_HOL_Oone__class_Oone(X0)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6723_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18406,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),X1) = c_HOL_Oone__class_Oone(X0)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3931]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3928,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.09 | ~ class_Int_Onumber(X0)
% 5.87/6.09 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_Int_Onumber__class_Onumber__of(X1,X0)) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6722_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18400,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.09 | ~ class_Int_Onumber(X0)
% 5.87/6.09 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_Int_Onumber__class_Onumber__of(X1,X0)) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3928]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3924,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 5.87/6.09 | X1 = X2 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6720_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18392,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 5.87/6.09 | X1 = X2 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3924]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3922,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 5.87/6.09 | X0 = X2 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6719_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18388,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 5.87/6.09 | X0 = X2 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3922]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3919,plain,
% 5.87/6.09 ( ~ class_Orderings_Opreorder(X0)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.09 | c_lessequals(X1,X2,X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6718_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18382,plain,
% 5.87/6.09 ( ~ class_Orderings_Opreorder(X0)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.09 | c_lessequals(X1,X2,X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3919]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18383,plain,
% 5.87/6.09 ( c_lessequals(X0,X1,X2)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.87/6.09 | ~ class_Orderings_Opreorder(X2) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_18382]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3916,plain,
% 5.87/6.09 ( ~ class_Orderings_Oorder(X0)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.09 | c_lessequals(X1,X2,X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6717_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18376,plain,
% 5.87/6.09 ( ~ class_Orderings_Oorder(X0)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.09 | c_lessequals(X1,X2,X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3916]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18377,plain,
% 5.87/6.09 ( c_lessequals(X0,X1,X2)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.87/6.09 | ~ class_Orderings_Oorder(X2) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_18376]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3881,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | X0 = X2 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6708_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18306,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | X0 = X2 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3881]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3875,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)
% 5.87/6.09 | X1 = X2
% 5.87/6.09 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6706_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18294,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)
% 5.87/6.09 | X1 = X2
% 5.87/6.09 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3875]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18295,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)
% 5.87/6.09 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | X1 = X2 ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_18294]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3873,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6705_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18290,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3873]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3871,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.09 | c_HOL_Ominus__class_Ominus(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6704_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18286,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.09 | c_HOL_Ominus__class_Ominus(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3871]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3867,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6702_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18278,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3867]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3865,plain,
% 5.87/6.09 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6701_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18274,plain,
% 5.87/6.09 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3865]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3863,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6700_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18270,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3863]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3861,plain,
% 5.87/6.09 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | 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) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6699_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18266,plain,
% 5.87/6.09 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | 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) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3861]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3850,plain,
% 5.87/6.09 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6696_2) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18244,plain,
% 5.87/6.09 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3850]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3840,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.87/6.09 | 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) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6694_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18224,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.87/6.09 | 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) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3840]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3838,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.09 | 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)) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6693_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18220,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.09 | 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)) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3838]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3833,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6691_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18210,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3833]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18211,plain,
% 5.87/6.09 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_18210]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3831,plain,
% 5.87/6.09 ( ~ c_lessequals(X0,X1,tc_nat) | c_lessequals(X0,hAPP(c_Suc,X1),tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6690_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18206,plain,
% 5.87/6.09 ( ~ c_lessequals(X0,X1,tc_nat) | c_lessequals(X0,hAPP(c_Suc,X1),tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3831]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18207,plain,
% 5.87/6.09 ( c_lessequals(X0,hAPP(c_Suc,X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_18206]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3829,plain,
% 5.87/6.09 ( ~ c_lessequals(X0,X0,tc_nat)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X0),tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6689_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18202,plain,
% 5.87/6.09 ( ~ c_lessequals(X0,X0,tc_nat)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X0),tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3829]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3827,plain,
% 5.87/6.09 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6688_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18198,plain,
% 5.87/6.09 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3827]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3823,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.09 | c_lessequals(hAPP(c_Suc,X0),X1,tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6686_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18190,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.09 | c_lessequals(hAPP(c_Suc,X0),X1,tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3823]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18191,plain,
% 5.87/6.09 ( c_lessequals(hAPP(c_Suc,X0),X1,tc_nat)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_18190]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3821,plain,
% 5.87/6.09 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.09 | 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) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6685_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18186,plain,
% 5.87/6.09 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.09 | 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) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3821]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3819,plain,
% 5.87/6.09 ( 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))
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6684_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18182,plain,
% 5.87/6.09 ( 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))
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3819]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18183,plain,
% 5.87/6.09 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | 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)) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_18182]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3817,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.09 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6683_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18178,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.09 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3817]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3815,plain,
% 5.87/6.09 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.09 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6682_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18174,plain,
% 5.87/6.09 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.09 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3815]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3813,plain,
% 5.87/6.09 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.09 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6681_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18170,plain,
% 5.87/6.09 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.09 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3813]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3811,plain,
% 5.87/6.09 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | 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 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6680_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18166,plain,
% 5.87/6.09 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | 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 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3811]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3808,plain,
% 5.87/6.09 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X1 = X0 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6679_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18160,plain,
% 5.87/6.09 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X1 = X0 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3808]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3806,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.09 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6678_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18156,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.09 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3806]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18157,plain,
% 5.87/6.09 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),X0)
% 5.87/6.09 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_18156]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3803,plain,
% 5.87/6.09 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.09 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0) = X2
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6677_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18150,plain,
% 5.87/6.09 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.09 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0) = X2
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3803]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3800,plain,
% 5.87/6.09 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.09 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = X1
% 5.87/6.09 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6676_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18144,plain,
% 5.87/6.09 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.09 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = X1
% 5.87/6.09 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3800]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3794,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X1,X0) = X2 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6674_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18132,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.09 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X1,X0) = X2 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3794]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18133,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.09 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = X1
% 5.87/6.09 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_18132]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3792,plain,
% 5.87/6.09 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.09 | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6673_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18128,plain,
% 5.87/6.09 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.09 | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3792]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3790,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6672_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18124,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3790]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3788,plain,
% 5.87/6.09 ( ~ c_lessequals(hAPP(c_Suc,X0),X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6671_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18120,plain,
% 5.87/6.09 ( ~ c_lessequals(hAPP(c_Suc,X0),X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3788]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3786,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 5.87/6.09 | c_lessequals(X0,X1,tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6670_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18116,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 5.87/6.09 | c_lessequals(X0,X1,tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3786]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18117,plain,
% 5.87/6.09 ( c_lessequals(X0,X1,tc_nat)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_18116]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3782,plain,
% 5.87/6.09 ( ~ c_lessequals(hAPP(c_Suc,X0),X1,tc_nat)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6668_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18108,plain,
% 5.87/6.09 ( ~ c_lessequals(hAPP(c_Suc,X0),X1,tc_nat)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3782]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3779,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 5.87/6.09 | X1 = X3 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6667_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18102,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 5.87/6.09 | X1 = X3 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3779]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3776,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 5.87/6.09 | X2 = X3 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6666_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18096,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 5.87/6.09 | X2 = X3 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3776]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3773,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 5.87/6.09 | X2 = X3 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6665_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18090,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 5.87/6.09 | X2 = X3 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3773]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3767,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.09 | 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)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6663_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18078,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.09 | 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)
% 5.87/6.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3767]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3761,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 5.87/6.09 | X1 = X0
% 5.87/6.09 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6661_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18066,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 5.87/6.09 | X1 = X0
% 5.87/6.09 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3761]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18067,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.09 | X1 = X0 ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_18066]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3758,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 5.87/6.09 | X0 = X1
% 5.87/6.09 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6660_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18060,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 5.87/6.09 | X0 = X1
% 5.87/6.09 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3758]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18061,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.09 | X0 = X1 ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_18060]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3756,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.09 | 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) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6659_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18056,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.09 | 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) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3756]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18057,plain,
% 5.87/6.09 ( 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)
% 5.87/6.09 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_18056]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3754,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0)),X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6658_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18052,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0)),X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3754]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18053,plain,
% 5.87/6.09 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 5.87/6.09 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_18052]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3751,plain,
% 5.87/6.09 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | X1 = X0 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6657_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18046,plain,
% 5.87/6.09 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | X1 = X0 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3751]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3737,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.09 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = X1
% 5.87/6.09 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6654_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18018,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.09 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = X1
% 5.87/6.09 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3737]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3734,plain,
% 5.87/6.09 ( ~ 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)
% 5.87/6.09 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 5.87/6.09 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6653_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18012,plain,
% 5.87/6.09 ( ~ 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)
% 5.87/6.09 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 5.87/6.09 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3734]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3731,plain,
% 5.87/6.09 ( ~ class_Orderings_Oorder(X0)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6652_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18006,plain,
% 5.87/6.09 ( ~ class_Orderings_Oorder(X0)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3731]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18007,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.87/6.09 | ~ class_Orderings_Oorder(X2) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_18006]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3728,plain,
% 5.87/6.09 ( ~ class_Orderings_Olinorder(X0)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6651_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18000,plain,
% 5.87/6.09 ( ~ class_Orderings_Olinorder(X0)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3728]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_18001,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.87/6.09 | ~ class_Orderings_Olinorder(X2) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_18000]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3722,plain,
% 5.87/6.09 ( ~ class_Orderings_Opreorder(X0)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6649_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17988,plain,
% 5.87/6.09 ( ~ class_Orderings_Opreorder(X0)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3722]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17989,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.87/6.09 | ~ class_Orderings_Opreorder(X2) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_17988]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3716,plain,
% 5.87/6.09 ( ~ class_Orderings_Olinorder(X0)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.09 | ~ c_lessequals(X2,X1,X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6647_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17976,plain,
% 5.87/6.09 ( ~ class_Orderings_Olinorder(X0)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.09 | ~ c_lessequals(X2,X1,X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3716]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17977,plain,
% 5.87/6.09 ( ~ c_lessequals(X0,X1,X2)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.87/6.09 | ~ class_Orderings_Olinorder(X2) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_17976]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3708,plain,
% 5.87/6.09 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0))),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6644_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17960,plain,
% 5.87/6.09 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0))),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3708]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3701,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.87/6.09 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 5.87/6.09 | X1 = X2 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6642_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17946,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.87/6.09 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 5.87/6.09 | X1 = X2 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3701]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3698,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.87/6.09 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 5.87/6.09 | X2 = X3 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6641_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17940,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.87/6.09 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 5.87/6.09 | X2 = X3 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3698]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3696,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | c_Fact_Ofact__class_Ofact(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6640_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17936,plain,
% 5.87/6.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.09 | c_Fact_Ofact__class_Ofact(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) = c_HOL_Oone__class_Oone(tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3696]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3676,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.09 | c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6634_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17896,plain,
% 5.87/6.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.09 | c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3676]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17897,plain,
% 5.87/6.09 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_17896]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3674,plain,
% 5.87/6.09 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.09 | c_lessequals(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6633_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17892,plain,
% 5.87/6.09 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.09 | c_lessequals(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3674]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17893,plain,
% 5.87/6.09 ( c_lessequals(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat)
% 5.87/6.09 | ~ c_lessequals(X0,X1,tc_nat) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_17892]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3672,plain,
% 5.87/6.09 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.09 | c_lessequals(c_Fact_Ofact__class_Ofact(X0,tc_nat),c_Fact_Ofact__class_Ofact(X1,tc_nat),tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6632_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17888,plain,
% 5.87/6.09 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.09 | c_lessequals(c_Fact_Ofact__class_Ofact(X0,tc_nat),c_Fact_Ofact__class_Ofact(X1,tc_nat),tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3672]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17889,plain,
% 5.87/6.09 ( c_lessequals(c_Fact_Ofact__class_Ofact(X0,tc_nat),c_Fact_Ofact__class_Ofact(X1,tc_nat),tc_nat)
% 5.87/6.09 | ~ c_lessequals(X0,X1,tc_nat) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_17888]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3666,plain,
% 5.87/6.09 ( ~ c_lessequals(X0,hAPP(c_Suc,X1),tc_nat)
% 5.87/6.09 | X0 = hAPP(c_Suc,X1)
% 5.87/6.09 | c_lessequals(X0,X1,tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6630_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17876,plain,
% 5.87/6.09 ( ~ c_lessequals(X0,hAPP(c_Suc,X1),tc_nat)
% 5.87/6.09 | X0 = hAPP(c_Suc,X1)
% 5.87/6.09 | c_lessequals(X0,X1,tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3666]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17877,plain,
% 5.87/6.09 ( ~ c_lessequals(X0,hAPP(c_Suc,X1),tc_nat)
% 5.87/6.09 | c_lessequals(X0,X1,tc_nat)
% 5.87/6.09 | X0 = hAPP(c_Suc,X1) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_17876]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3664,plain,
% 5.87/6.09 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6629_1) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17872,plain,
% 5.87/6.09 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3664]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3663,plain,
% 5.87/6.09 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6629_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17870,plain,
% 5.87/6.09 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3663]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3661,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.87/6.09 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)) = c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6628_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17866,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.87/6.09 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)) = c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3661]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3651,plain,
% 5.87/6.09 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.09 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 5.87/6.09 | X2 = X1
% 5.87/6.09 | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6625_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17846,plain,
% 5.87/6.09 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.09 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 5.87/6.09 | X2 = X1
% 5.87/6.09 | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3651]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17847,plain,
% 5.87/6.09 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.87/6.09 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 5.87/6.09 | X2 = X1 ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_17846]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3647,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)
% 5.87/6.09 | X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)
% 5.87/6.09 | X1 = X2 ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6624_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17838,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.87/6.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)
% 5.87/6.09 | X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)
% 5.87/6.09 | X1 = X2 ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3647]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3634,plain,
% 5.87/6.09 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6619_2) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17812,plain,
% 5.87/6.09 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3634]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17813,plain,
% 5.87/6.09 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_17812]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3632,plain,
% 5.87/6.09 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6619_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17808,plain,
% 5.87/6.09 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3632]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17809,plain,
% 5.87/6.09 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_17808]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3631,plain,
% 5.87/6.09 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6618_2) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17806,plain,
% 5.87/6.09 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3631]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17807,plain,
% 5.87/6.09 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_17806]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3629,plain,
% 5.87/6.09 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6618_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17802,plain,
% 5.87/6.09 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3629]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17803,plain,
% 5.87/6.09 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 5.87/6.09 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_17802]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3626,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.09 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6617_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17796,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.09 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3626]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3623,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6616_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17790,plain,
% 5.87/6.09 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.09 | c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3623]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17791,plain,
% 5.87/6.09 ( c_HOL_Oord__class_Oless(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 5.87/6.09 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.87/6.09 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_17790]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3620,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 5.87/6.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.09 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X1,X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6615_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17784,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 5.87/6.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.09 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X1,X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3620]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17785,plain,
% 5.87/6.09 ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X1,X0)
% 5.87/6.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.09 | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_17784]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3617,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 5.87/6.09 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.09 | c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6614_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17778,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 5.87/6.09 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.09 | c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 5.87/6.09 inference(copy,[status(esa)],[c_3617]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17779,plain,
% 5.87/6.09 ( c_lessequals(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 5.87/6.09 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.87/6.09 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 5.87/6.09 inference(rewriting,[status(thm)],[c_17778]) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_3614,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.87/6.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.09 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X1,X0) ),
% 5.87/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6613_0) ).
% 5.87/6.09
% 5.87/6.09 cnf(c_17772,plain,
% 5.87/6.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.87/6.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X1,X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3614]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17773,plain,
% 5.87/6.10 ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X1,X0)
% 5.87/6.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17772]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3611,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.87/6.10 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6612_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17766,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.87/6.10 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3611]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17767,plain,
% 5.87/6.10 ( c_lessequals(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 5.87/6.10 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.87/6.10 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17766]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3604,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.10 | c_HOL_Oinverse__class_Odivide(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0)
% 5.87/6.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6610_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17752,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.10 | c_HOL_Oinverse__class_Odivide(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0)
% 5.87/6.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3604]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3591,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | 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) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6606_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17726,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | 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) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3591]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3588,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | c_HOL_Oinverse__class_Odivide(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6605_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17720,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | c_HOL_Oinverse__class_Odivide(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3588]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3586,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.10 | c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6604_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17716,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.10 | c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3586]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3583,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6603_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17710,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3583]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17711,plain,
% 5.87/6.10 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17710]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3580,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6602_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17704,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3580]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17705,plain,
% 5.87/6.10 ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17704]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3577,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6601_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17698,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3577]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17699,plain,
% 5.87/6.10 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17698]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3574,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.87/6.10 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6600_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17692,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.87/6.10 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3574]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17693,plain,
% 5.87/6.10 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0)
% 5.87/6.10 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17692]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3571,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6599_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17686,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3571]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17687,plain,
% 5.87/6.10 ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17686]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3568,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.87/6.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6598_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17680,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.87/6.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3568]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17681,plain,
% 5.87/6.10 ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17680]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3562,plain,
% 5.87/6.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.10 | ~ c_lessequals(hAPP(c_Suc,X1),X0,tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6596_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17668,plain,
% 5.87/6.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.10 | ~ c_lessequals(hAPP(c_Suc,X1),X0,tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3562]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17669,plain,
% 5.87/6.10 ( ~ c_lessequals(hAPP(c_Suc,X0),X1,tc_nat)
% 5.87/6.10 | ~ c_lessequals(X1,X0,tc_nat) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17668]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3560,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_Suc,X0),tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6595_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17664,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_Suc,X0),tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3560]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17665,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17664]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3558,plain,
% 5.87/6.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1
% 5.87/6.10 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6594_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17660,plain,
% 5.87/6.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1
% 5.87/6.10 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3558]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17661,plain,
% 5.87/6.10 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = X0 ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17660]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3553,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.10 | 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) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6592_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17650,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.10 | 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) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3553]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17651,plain,
% 5.87/6.10 ( 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)
% 5.87/6.10 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17650]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3548,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat)
% 5.87/6.10 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6590_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17640,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat)
% 5.87/6.10 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3548]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3546,plain,
% 5.87/6.10 ( ~ c_lessequals(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat)
% 5.87/6.10 | c_lessequals(X0,X1,tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6589_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17636,plain,
% 5.87/6.10 ( ~ c_lessequals(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat)
% 5.87/6.10 | c_lessequals(X0,X1,tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3546]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3542,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Oone__class_Oone(X0),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6588_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17628,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Oone__class_Oone(X0),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3542]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17629,plain,
% 5.87/6.10 ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Oone__class_Oone(X0),X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17628]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3538,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6587_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17620,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3538]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17621,plain,
% 5.87/6.10 ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17620]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3534,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.87/6.10 | c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Oone__class_Oone(X0),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6586_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17612,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.87/6.10 | c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Oone__class_Oone(X0),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3534]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17613,plain,
% 5.87/6.10 ( c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Oone__class_Oone(X0),X0)
% 5.87/6.10 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17612]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3530,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6585_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17604,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3530]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17605,plain,
% 5.87/6.10 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.87/6.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17604]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3526,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6584_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17596,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3526]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17597,plain,
% 5.87/6.10 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17596]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3522,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6583_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17588,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3522]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17589,plain,
% 5.87/6.10 ( c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17588]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3518,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Oone__class_Oone(X0),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6582_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17580,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Oone__class_Oone(X0),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3518]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17581,plain,
% 5.87/6.10 ( c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Oone__class_Oone(X0),X0)
% 5.87/6.10 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17580]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3510,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.10 | hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0 ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6579_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17564,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.10 | hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0 ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3510]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3508,plain,
% 5.87/6.10 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.10 | 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) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6578_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17560,plain,
% 5.87/6.10 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.10 | 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) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3508]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3506,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 5.87/6.10 | 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) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6577_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17556,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 5.87/6.10 | 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) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3506]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3489,plain,
% 5.87/6.10 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.10 | 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) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6571_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17522,plain,
% 5.87/6.10 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.10 | 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) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3489]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3487,plain,
% 5.87/6.10 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.10 | 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) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6570_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17518,plain,
% 5.87/6.10 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.10 | 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) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3487]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3481,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oring(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6568_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17506,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oring(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3481]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3477,plain,
% 5.87/6.10 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6566_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17498,plain,
% 5.87/6.10 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3477]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3476,plain,
% 5.87/6.10 ( c_lessequals(X0,X1,tc_nat)
% 5.87/6.10 | ~ c_lessequals(X0,X2,tc_nat)
% 5.87/6.10 | ~ c_lessequals(X2,X1,tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6565_2) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17496,plain,
% 5.87/6.10 ( c_lessequals(X0,X1,tc_nat)
% 5.87/6.10 | ~ c_lessequals(X0,X2,tc_nat)
% 5.87/6.10 | ~ c_lessequals(X2,X1,tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3476]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3475,plain,
% 5.87/6.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.10 | c_lessequals(X2,X1,tc_nat)
% 5.87/6.10 | ~ c_lessequals(X2,X0,tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6565_1) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17494,plain,
% 5.87/6.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.10 | c_lessequals(X2,X1,tc_nat)
% 5.87/6.10 | ~ c_lessequals(X2,X0,tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3475]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3474,plain,
% 5.87/6.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.10 | ~ c_lessequals(X2,X0,tc_nat)
% 5.87/6.10 | c_lessequals(X2,X1,tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6565_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17492,plain,
% 5.87/6.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.10 | ~ c_lessequals(X2,X0,tc_nat)
% 5.87/6.10 | c_lessequals(X2,X1,tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3474]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3472,plain,
% 5.87/6.10 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.10 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6564_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17488,plain,
% 5.87/6.10 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.10 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3472]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3457,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.10 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.10 | c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6559_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17458,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.10 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.10 | c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3457]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17459,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.10 | c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 5.87/6.10 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17458]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3454,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.87/6.10 | ~ c_lessequals(X1,X2,X0)
% 5.87/6.10 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6558_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17452,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.87/6.10 | ~ c_lessequals(X1,X2,X0)
% 5.87/6.10 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3454]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17453,plain,
% 5.87/6.10 ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 5.87/6.10 | ~ c_lessequals(X2,X1,X0)
% 5.87/6.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17452]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3451,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6557_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17446,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3451]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17447,plain,
% 5.87/6.10 ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.87/6.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17446]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3449,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6556_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17442,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3449]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3447,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oring(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6555_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17438,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oring(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3447]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3445,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oring(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6554_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17434,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oring(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3445]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3443,plain,
% 5.87/6.10 ( ~ class_RealVector_Oreal__normed__field(X0)
% 5.87/6.10 | c_HOL_Oinverse__class_Odivide(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6553_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17430,plain,
% 5.87/6.10 ( ~ class_RealVector_Oreal__normed__field(X0)
% 5.87/6.10 | c_HOL_Oinverse__class_Odivide(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3443]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3441,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.10 | c_HOL_Oinverse__class_Odivide(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6552_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17426,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.10 | c_HOL_Oinverse__class_Odivide(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3441]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3435,plain,
% 5.87/6.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.10 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6549_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17414,plain,
% 5.87/6.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.10 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3435]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17415,plain,
% 5.87/6.10 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 5.87/6.10 | ~ c_lessequals(X0,X2,tc_nat) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17414]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3433,plain,
% 5.87/6.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.10 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6548_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17410,plain,
% 5.87/6.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.10 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3433]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17411,plain,
% 5.87/6.10 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 5.87/6.10 | ~ c_lessequals(X0,X1,tc_nat) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17410]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3427,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.10 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6545_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17398,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.10 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3427]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17399,plain,
% 5.87/6.10 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17398]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3425,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.10 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6544_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17394,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.10 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3425]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17395,plain,
% 5.87/6.10 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17394]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3423,plain,
% 5.87/6.10 ( 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)
% 5.87/6.10 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6543_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17390,plain,
% 5.87/6.10 ( 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)
% 5.87/6.10 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3423]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17391,plain,
% 5.87/6.10 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.10 | 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) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17390]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3376,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6531_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17296,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3376]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17297,plain,
% 5.87/6.10 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17296]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3373,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)
% 5.87/6.10 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 5.87/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6530_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17290,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)
% 5.87/6.10 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 5.87/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3373]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3370,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.10 | c_HOL_Oinverse__class_Odivide(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0))
% 5.87/6.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6529_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17284,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.10 | c_HOL_Oinverse__class_Odivide(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0))
% 5.87/6.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3370]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3368,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.10 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X0,tc_nat) = X1 ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6528_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17280,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.10 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X0,tc_nat) = X1 ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3368]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3366,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.10 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),X0,tc_nat) = X1 ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6527_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17276,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.10 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),X0,tc_nat) = X1 ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3366]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3363,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | c_HOL_Oinverse__class_Odivide(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6526_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17270,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | c_HOL_Oinverse__class_Odivide(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3363]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3361,plain,
% 5.87/6.10 ( ~ class_Orderings_Oorder(X0)
% 5.87/6.10 | c_lessequals(X1,X2,X0)
% 5.87/6.10 | ~ c_lessequals(X3,X2,X0)
% 5.87/6.10 | ~ c_lessequals(X1,X3,X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6525_2) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17266,plain,
% 5.87/6.10 ( ~ class_Orderings_Oorder(X0)
% 5.87/6.10 | c_lessequals(X1,X2,X0)
% 5.87/6.10 | ~ c_lessequals(X3,X2,X0)
% 5.87/6.10 | ~ c_lessequals(X1,X3,X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3361]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17267,plain,
% 5.87/6.10 ( c_lessequals(X0,X1,X2)
% 5.87/6.10 | ~ c_lessequals(X3,X1,X2)
% 5.87/6.10 | ~ c_lessequals(X0,X3,X2)
% 5.87/6.10 | ~ class_Orderings_Oorder(X2) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17266]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3349,plain,
% 5.87/6.10 ( ~ class_Orderings_Opreorder(X0)
% 5.87/6.10 | c_lessequals(X1,X2,X0)
% 5.87/6.10 | ~ c_lessequals(X1,X3,X0)
% 5.87/6.10 | ~ c_lessequals(X3,X2,X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6522_2) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17242,plain,
% 5.87/6.10 ( ~ class_Orderings_Opreorder(X0)
% 5.87/6.10 | c_lessequals(X1,X2,X0)
% 5.87/6.10 | ~ c_lessequals(X1,X3,X0)
% 5.87/6.10 | ~ c_lessequals(X3,X2,X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3349]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17243,plain,
% 5.87/6.10 ( c_lessequals(X0,X1,X2)
% 5.87/6.10 | ~ c_lessequals(X0,X3,X2)
% 5.87/6.10 | ~ c_lessequals(X3,X1,X2)
% 5.87/6.10 | ~ class_Orderings_Opreorder(X2) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17242]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3337,plain,
% 5.87/6.10 ( ~ class_Orderings_Opreorder(X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6519_2) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17218,plain,
% 5.87/6.10 ( ~ class_Orderings_Opreorder(X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3337]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17219,plain,
% 5.87/6.10 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.87/6.10 | ~ class_Orderings_Opreorder(X2) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17218]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3333,plain,
% 5.87/6.10 ( ~ class_Orderings_Oorder(X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6518_2) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17210,plain,
% 5.87/6.10 ( ~ class_Orderings_Oorder(X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3333]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17211,plain,
% 5.87/6.10 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.87/6.10 | ~ class_Orderings_Oorder(X2) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17210]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3329,plain,
% 5.87/6.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1 ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6517_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17202,plain,
% 5.87/6.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1 ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3329]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3327,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.10 | 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) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6516_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17198,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.10 | 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) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3327]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17199,plain,
% 5.87/6.10 ( 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)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17198]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3325,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.10 | 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) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6515_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17194,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.10 | 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) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3325]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17195,plain,
% 5.87/6.10 ( 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)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17194]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3318,plain,
% 5.87/6.10 ( ~ class_Power_Opower(X0)
% 5.87/6.10 | 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)) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6512_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17180,plain,
% 5.87/6.10 ( ~ class_Power_Opower(X0)
% 5.87/6.10 | 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)) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3318]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3314,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.10 | 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)) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6510_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17172,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.10 | 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)) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3314]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3308,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)) = X2 ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6508_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17160,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)) = X2 ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3308]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3306,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)) = X2 ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6507_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17156,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)) = X2 ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3306]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3289,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6503_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17122,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3289]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17123,plain,
% 5.87/6.10 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17122]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3287,plain,
% 5.87/6.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.10 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X0 ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6502_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17118,plain,
% 5.87/6.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.10 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X0 ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3287]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3286,plain,
% 5.87/6.10 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6501_2) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17116,plain,
% 5.87/6.10 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3286]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3282,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6500_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17108,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3282]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17109,plain,
% 5.87/6.10 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17108]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3280,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,X0,tc_nat),X0,tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6499_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17104,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,X0,tc_nat),X0,tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3280]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3278,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.10 | c_lessequals(c_Divides_Odiv__class_Omod(X1,X0,tc_nat),X0,tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6498_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17100,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.10 | c_lessequals(c_Divides_Odiv__class_Omod(X1,X0,tc_nat),X0,tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3278]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17101,plain,
% 5.87/6.10 ( c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X1,tc_nat)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17100]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3273,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.87/6.10 | c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 5.87/6.10 | ~ c_lessequals(X2,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6496_1) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17090,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.87/6.10 | c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 5.87/6.10 | ~ c_lessequals(X2,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3273]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17091,plain,
% 5.87/6.10 ( c_lessequals(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)
% 5.87/6.10 | ~ c_lessequals(X2,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 5.87/6.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17090]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3267,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.87/6.10 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0)
% 5.87/6.10 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X1,X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6494_1) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17078,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.87/6.10 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0)
% 5.87/6.10 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X1,X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3267]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17079,plain,
% 5.87/6.10 ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0)
% 5.87/6.10 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X1,X0)
% 5.87/6.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17078]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3261,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X2,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6492_1) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17066,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X2,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3261]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17067,plain,
% 5.87/6.10 ( c_HOL_Oord__class_Oless(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X2,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 5.87/6.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17066]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3255,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X1,X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6490_1) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17054,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X1,X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3255]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17055,plain,
% 5.87/6.10 ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X1,X0)
% 5.87/6.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17054]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3252,plain,
% 5.87/6.10 ( 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))
% 5.87/6.10 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6489_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17048,plain,
% 5.87/6.10 ( 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))
% 5.87/6.10 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3252]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17049,plain,
% 5.87/6.10 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.10 | 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)) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17048]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3250,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oring(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6488_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17044,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oring(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3250]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3246,plain,
% 5.87/6.10 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6486_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17036,plain,
% 5.87/6.10 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3246]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3243,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6485_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17030,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3243]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17031,plain,
% 5.87/6.10 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.87/6.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17030]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3240,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.87/6.10 | ~ c_lessequals(X1,X2,X0)
% 5.87/6.10 | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6484_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17024,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.87/6.10 | ~ c_lessequals(X1,X2,X0)
% 5.87/6.10 | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3240]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17025,plain,
% 5.87/6.10 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.87/6.10 | ~ c_lessequals(X0,X1,X2)
% 5.87/6.10 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17024]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3238,plain,
% 5.87/6.10 ( hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1
% 5.87/6.10 | c_Divides_Odiv__class_Omod(hAPP(c_Suc,X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6483_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17020,plain,
% 5.87/6.10 ( hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1
% 5.87/6.10 | c_Divides_Odiv__class_Omod(hAPP(c_Suc,X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3238]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3236,plain,
% 5.87/6.10 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat)
% 5.87/6.10 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6482_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17016,plain,
% 5.87/6.10 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat)
% 5.87/6.10 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3236]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17017,plain,
% 5.87/6.10 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.10 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17016]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3233,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.10 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),X2) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.87/6.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6481_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17010,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.10 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),X2) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.87/6.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3233]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3231,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6480_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17006,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3231]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17007,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_17006]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3229,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.10 | hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X0,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6479_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_17002,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.10 | hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X0,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3229]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3227,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.10 | c_lessequals(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) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6478_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16998,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.10 | c_lessequals(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) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3227]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16999,plain,
% 5.87/6.10 ( c_lessequals(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)
% 5.87/6.10 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_16998]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3225,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.87/6.10 | c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6477_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16994,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.87/6.10 | c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3225]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3222,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),X2) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6476_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16988,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),X2) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3222]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3219,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.87/6.10 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6475_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16982,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.87/6.10 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3219]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16983,plain,
% 5.87/6.10 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_16982]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3216,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6474_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16976,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3216]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16977,plain,
% 5.87/6.10 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_16976]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3213,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.10 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.87/6.10 | c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6473_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16970,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.10 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.87/6.10 | c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3213]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16971,plain,
% 5.87/6.10 ( c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 5.87/6.10 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_16970]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3210,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6472_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16964,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3210]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16965,plain,
% 5.87/6.10 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 5.87/6.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_16964]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3207,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6471_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16958,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3207]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16959,plain,
% 5.87/6.10 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 5.87/6.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_16958]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3204,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.87/6.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6470_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16952,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.87/6.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3204]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16953,plain,
% 5.87/6.10 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 5.87/6.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_16952]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3201,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6469_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16946,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3201]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16947,plain,
% 5.87/6.10 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_16946]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3198,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6468_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16940,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3198]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16941,plain,
% 5.87/6.10 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_16940]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3195,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6467_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16934,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3195]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16935,plain,
% 5.87/6.10 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_16934]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3162,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) != X2
% 5.87/6.10 | X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X3) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6457_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16868,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) != X2
% 5.87/6.10 | X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X3) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3162]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3160,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.10 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6456_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16864,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.10 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3160]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16865,plain,
% 5.87/6.10 ( ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_16864]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3158,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1 ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6455_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16860,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1 ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3158]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3146,plain,
% 5.87/6.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.10 | c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X1),X0,tc_nat) = hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6452_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16836,plain,
% 5.87/6.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.10 | c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X1),X0,tc_nat) = hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3146]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3140,plain,
% 5.87/6.10 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.87/6.10 | c_lessequals(X1,X2,tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6450_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16824,plain,
% 5.87/6.10 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.87/6.10 | c_lessequals(X1,X2,tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3140]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3138,plain,
% 5.87/6.10 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.87/6.10 | c_lessequals(X0,X2,tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6449_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16820,plain,
% 5.87/6.10 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.87/6.10 | c_lessequals(X0,X2,tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3138]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3136,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.87/6.10 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6448_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16816,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.87/6.10 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3136]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3118,plain,
% 5.87/6.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 5.87/6.10 | c_HOL_Oord__class_Oless(X0,X3,tc_nat)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6443_1) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16780,plain,
% 5.87/6.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 5.87/6.10 | c_HOL_Oord__class_Oless(X0,X3,tc_nat)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3118]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16781,plain,
% 5.87/6.10 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_16780]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3115,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 5.87/6.10 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(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),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6442_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16774,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 5.87/6.10 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(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),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3115]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3097,plain,
% 5.87/6.10 ( ~ 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)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6437_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16738,plain,
% 5.87/6.10 ( ~ 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)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3097]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3095,plain,
% 5.87/6.10 ( ~ 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)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6436_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16734,plain,
% 5.87/6.10 ( ~ 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)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3095]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3087,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)),X2) = X1
% 5.87/6.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6434_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16718,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)),X2) = X1
% 5.87/6.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3087]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3081,plain,
% 5.87/6.10 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 5.87/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6432_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16706,plain,
% 5.87/6.10 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 5.87/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3081]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3079,plain,
% 5.87/6.10 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6431_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16702,plain,
% 5.87/6.10 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3079]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3077,plain,
% 5.87/6.10 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6430_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16698,plain,
% 5.87/6.10 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3077]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3073,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | 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) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6429_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16690,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | 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) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3073]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16691,plain,
% 5.87/6.10 ( 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)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_16690]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3069,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | 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) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6428_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16682,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | 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) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3069]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16683,plain,
% 5.87/6.10 ( 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)
% 5.87/6.10 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_16682]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3065,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6427_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16674,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3065]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16675,plain,
% 5.87/6.10 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 5.87/6.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_16674]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3061,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6426_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16666,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3061]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16667,plain,
% 5.87/6.10 ( c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_16666]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3059,plain,
% 5.87/6.10 ( 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)
% 5.87/6.10 | X1 = X2 ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6425_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16662,plain,
% 5.87/6.10 ( 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)
% 5.87/6.10 | X1 = X2 ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3059]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3056,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 5.87/6.10 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 5.87/6.10 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6424_2) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16656,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 5.87/6.10 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 5.87/6.10 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3056]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3052,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,hAPP(c_Suc,X1),tc_nat),X0,tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6423_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16648,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,hAPP(c_Suc,X1),tc_nat),X0,tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3052]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3026,plain,
% 5.87/6.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.10 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat) = c_Divides_Odiv__class_Omod(X1,X0,tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6417_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16596,plain,
% 5.87/6.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.10 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat) = c_Divides_Odiv__class_Omod(X1,X0,tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3026]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3018,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.87/6.10 | ~ class_Int_Onumber(X0)
% 5.87/6.10 | 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)) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6415_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16580,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.87/6.10 | ~ class_Int_Onumber(X0)
% 5.87/6.10 | 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)) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3018]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3016,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6414_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16576,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3016]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3014,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6413_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16572,plain,
% 5.87/6.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3014]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_3012,plain,
% 5.87/6.10 ( ~ hBOOL(hAPP(X0,X1))
% 5.87/6.10 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6412_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16568,plain,
% 5.87/6.10 ( ~ hBOOL(hAPP(X0,X1))
% 5.87/6.10 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_3012]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16569,plain,
% 5.87/6.10 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 5.87/6.10 | ~ hBOOL(hAPP(X0,X1)) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_16568]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_2995,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ class_Int_Onumber__ring(X0)
% 5.87/6.10 | 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) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6408_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16534,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ class_Int_Onumber__ring(X0)
% 5.87/6.10 | 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) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_2995]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16535,plain,
% 5.87/6.10 ( 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)
% 5.87/6.10 | ~ class_Int_Onumber__ring(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_16534]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_2992,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6407_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16528,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.10 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_2992]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_2990,plain,
% 5.87/6.10 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.10 | 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) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6406_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16524,plain,
% 5.87/6.10 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.10 | 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) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_2990]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16525,plain,
% 5.87/6.10 ( 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)
% 5.87/6.10 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.10 inference(rewriting,[status(thm)],[c_16524]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_2988,plain,
% 5.87/6.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Fact_Ofact__class_Ofact(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)) = c_Fact_Ofact__class_Ofact(X0,tc_nat)
% 5.87/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6405_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16520,plain,
% 5.87/6.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Fact_Ofact__class_Ofact(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)) = c_Fact_Ofact__class_Ofact(X0,tc_nat)
% 5.87/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_2988]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_2986,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 5.87/6.10 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6404_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16516,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 5.87/6.10 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_2986]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_2974,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat)
% 5.87/6.10 | hAPP(c_Suc,c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = c_Int_Onumber__class_Onumber__of(X0,tc_nat) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6401_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16492,plain,
% 5.87/6.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat)
% 5.87/6.10 | hAPP(c_Suc,c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = c_Int_Onumber__class_Onumber__of(X0,tc_nat) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_2974]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_2971,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1))
% 5.87/6.10 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6400_1) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16486,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1))
% 5.87/6.10 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_2971]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_2970,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1))
% 5.87/6.10 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6400_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16484,plain,
% 5.87/6.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1))
% 5.87/6.10 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_2970]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_2966,plain,
% 5.87/6.10 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.87/6.10 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6398_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16476,plain,
% 5.87/6.10 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.87/6.10 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 5.87/6.10 inference(copy,[status(esa)],[c_2966]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_2964,plain,
% 5.87/6.10 ( c_Divides_Odiv__class_Omod(hAPP(c_Suc,X0),X1,tc_nat) = hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat))
% 5.87/6.10 | hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1 ),
% 5.87/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6397_0) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16472,plain,
% 5.87/6.10 ( c_Divides_Odiv__class_Omod(hAPP(c_Suc,X0),X1,tc_nat) = hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat))
% 5.87/6.10 | hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1 ),
% 5.87/6.10 inference(copy,[status(esa)],[c_2964]) ).
% 5.87/6.10
% 5.87/6.10 cnf(c_16473,plain,
% 5.87/6.11 ( hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1
% 5.87/6.11 | c_Divides_Odiv__class_Omod(hAPP(c_Suc,X0),X1,tc_nat) = hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_16472]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2962,plain,
% 5.87/6.11 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.11 | c_Divides_Odiv__class_Odiv(hAPP(c_Suc,X0),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) = c_Divides_Odiv__class_Odiv(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6396_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16468,plain,
% 5.87/6.11 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.11 | c_Divides_Odiv__class_Odiv(hAPP(c_Suc,X0),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) = c_Divides_Odiv__class_Odiv(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2962]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2959,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.87/6.11 | 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) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6395_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16462,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.87/6.11 | 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) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2959]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16463,plain,
% 5.87/6.11 ( 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)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_16462]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2953,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.87/6.11 | 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 ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6393_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16450,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.87/6.11 | 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 ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2953]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2951,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2)) = X2 ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6392_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16446,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.87/6.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2)) = X2 ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2951]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2949,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.11 | 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)) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6391_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16442,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.11 | 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)) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2949]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2947,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.11 | 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)) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6390_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16438,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.11 | 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)) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2947]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2945,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.87/6.11 | 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)) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6389_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16434,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.87/6.11 | 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)) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2945]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2943,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.87/6.11 | 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)) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6388_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16430,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.87/6.11 | 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)) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2943]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2940,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.87/6.11 | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 5.87/6.11 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6387_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16424,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.87/6.11 | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 5.87/6.11 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2940]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16425,plain,
% 5.87/6.11 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 5.87/6.11 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_16424]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2938,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.87/6.11 | 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) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6386_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16420,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.87/6.11 | 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) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2938]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2936,plain,
% 5.87/6.11 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.11 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6385_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16416,plain,
% 5.87/6.11 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.11 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2936]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2934,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.11 | 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) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6384_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16412,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.11 | 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) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2934]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16413,plain,
% 5.87/6.11 ( 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)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_16412]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2932,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.11 | 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) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6383_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16408,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.11 | 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) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2932]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16409,plain,
% 5.87/6.11 ( 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)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_16408]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2926,plain,
% 5.87/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.11 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6380_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16396,plain,
% 5.87/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.11 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2926]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16397,plain,
% 5.87/6.11 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 5.87/6.11 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_16396]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2924,plain,
% 5.87/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.11 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6379_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16392,plain,
% 5.87/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.11 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2924]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16393,plain,
% 5.87/6.11 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 5.87/6.11 | ~ c_lessequals(X0,X2,tc_nat) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_16392]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2922,plain,
% 5.87/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.11 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6378_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16388,plain,
% 5.87/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.11 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2922]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16389,plain,
% 5.87/6.11 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 5.87/6.11 | ~ c_lessequals(X0,X2,tc_nat) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_16388]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2920,plain,
% 5.87/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.11 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6377_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16384,plain,
% 5.87/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.11 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2920]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16385,plain,
% 5.87/6.11 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 5.87/6.11 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_16384]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2918,plain,
% 5.87/6.11 ( 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)),c_Parity_Osko__Parity__Xodd__Suc__mult__two__ex__1__1(X0))) = X0
% 5.87/6.11 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6376_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16380,plain,
% 5.87/6.11 ( 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)),c_Parity_Osko__Parity__Xodd__Suc__mult__two__ex__1__1(X0))) = X0
% 5.87/6.11 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2918]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16381,plain,
% 5.87/6.11 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.11 | 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)),c_Parity_Osko__Parity__Xodd__Suc__mult__two__ex__1__1(X0))) = X0 ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_16380]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2916,plain,
% 5.87/6.11 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.11 | c_Divides_Odiv__class_Odiv(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) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6375_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16376,plain,
% 5.87/6.11 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.11 | c_Divides_Odiv__class_Odiv(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) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2916]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2896,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_lessequals(X2,X1,X0)
% 5.87/6.11 | c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6370_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16336,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_lessequals(X2,X1,X0)
% 5.87/6.11 | c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2896]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16337,plain,
% 5.87/6.11 ( c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 5.87/6.11 | ~ c_lessequals(X2,X1,X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_16336]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2892,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_lessequals(X1,X2,X0)
% 5.87/6.11 | c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6369_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16328,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_lessequals(X1,X2,X0)
% 5.87/6.11 | c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2892]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16329,plain,
% 5.87/6.11 ( c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 5.87/6.11 | ~ c_lessequals(X2,X1,X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_16328]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2883,plain,
% 5.87/6.11 ( 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)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6366_2) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16310,plain,
% 5.87/6.11 ( 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)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2883]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2845,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.87/6.11 | 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) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6355_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16234,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.87/6.11 | 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) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2845]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2842,plain,
% 5.87/6.11 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.11 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) = c_Divides_Odiv__class_Odiv(X1,X3,X0)
% 5.87/6.11 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6354_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16228,plain,
% 5.87/6.11 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.11 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) = c_Divides_Odiv__class_Odiv(X1,X3,X0)
% 5.87/6.11 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2842]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2839,plain,
% 5.87/6.11 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.11 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) = c_Divides_Odiv__class_Odiv(X2,X3,X0)
% 5.87/6.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6353_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16222,plain,
% 5.87/6.11 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.11 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) = c_Divides_Odiv__class_Odiv(X2,X3,X0)
% 5.87/6.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2839]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2827,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.11 | 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)
% 5.87/6.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6350_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16198,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.11 | 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)
% 5.87/6.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2827]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2823,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.11 | 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)
% 5.87/6.11 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6349_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16190,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.11 | 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)
% 5.87/6.11 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2823]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2820,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6348_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16184,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2820]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2817,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),X0,tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6347_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16178,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),X0,tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2817]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2793,plain,
% 5.87/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X0) = X1 ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6340_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16130,plain,
% 5.87/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X0) = X1 ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2793]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2791,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.87/6.11 | 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)) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6339_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16126,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.87/6.11 | 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)) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2791]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2789,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.11 | 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)) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6338_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16122,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.11 | 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)) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2789]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2787,plain,
% 5.87/6.11 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 5.87/6.11 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X0),X3) = X0 ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6337_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16118,plain,
% 5.87/6.11 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 5.87/6.11 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X0),X3) = X0 ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2787]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2780,plain,
% 5.87/6.11 ( ~ 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)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6335_1) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16104,plain,
% 5.87/6.11 ( ~ 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)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2780]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2779,plain,
% 5.87/6.11 ( ~ 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)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6335_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16102,plain,
% 5.87/6.11 ( ~ 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)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2779]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2777,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Divides_Odiv__class_Odiv(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6334_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16098,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Divides_Odiv__class_Odiv(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2777]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16099,plain,
% 5.87/6.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Divides_Odiv__class_Odiv(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_16098]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2775,plain,
% 5.87/6.11 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 5.87/6.11 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_HOL_Oone__class_Oone(tc_nat)) = X3 ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6333_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16094,plain,
% 5.87/6.11 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 5.87/6.11 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_HOL_Oone__class_Oone(tc_nat)) = X3 ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2775]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2773,plain,
% 5.87/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.11 | c_lessequals(c_Divides_Odiv__class_Odiv(X0,X2,tc_nat),c_Divides_Odiv__class_Odiv(X1,X2,tc_nat),tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6332_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16090,plain,
% 5.87/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.11 | c_lessequals(c_Divides_Odiv__class_Odiv(X0,X2,tc_nat),c_Divides_Odiv__class_Odiv(X1,X2,tc_nat),tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2773]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16091,plain,
% 5.87/6.11 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),c_Divides_Odiv__class_Odiv(X2,X1,tc_nat),tc_nat)
% 5.87/6.11 | ~ c_lessequals(X0,X2,tc_nat) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_16090]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2771,plain,
% 5.87/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.11 | c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6331_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16086,plain,
% 5.87/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.11 | c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2771]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16087,plain,
% 5.87/6.11 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 5.87/6.11 | ~ c_lessequals(X2,X1,tc_nat) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_16086]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2769,plain,
% 5.87/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.11 | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6330_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16082,plain,
% 5.87/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.11 | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2769]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16083,plain,
% 5.87/6.11 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.87/6.11 | ~ c_lessequals(X0,X2,tc_nat) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_16082]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2763,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
% 5.87/6.11 | 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) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6328_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16070,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
% 5.87/6.11 | 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) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2763]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2747,plain,
% 5.87/6.11 ( ~ class_Orderings_Olinorder(X0)
% 5.87/6.11 | ~ class_Int_Onumber(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 5.87/6.11 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6324_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16038,plain,
% 5.87/6.11 ( ~ class_Orderings_Olinorder(X0)
% 5.87/6.11 | ~ class_Int_Onumber(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 5.87/6.11 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2747]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16039,plain,
% 5.87/6.11 ( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 5.87/6.11 | ~ class_Int_Onumber(X1)
% 5.87/6.11 | ~ class_Orderings_Olinorder(X1) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_16038]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2744,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.11 | 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) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6323_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16032,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.11 | 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) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2744]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16033,plain,
% 5.87/6.11 ( 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)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.87/6.11 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_16032]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2741,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.11 | 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) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6322_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16026,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.11 | 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) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2741]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16027,plain,
% 5.87/6.11 ( 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)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.87/6.11 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_16026]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2738,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.11 | 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) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6321_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16020,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.11 | 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) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2738]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16021,plain,
% 5.87/6.11 ( 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)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.87/6.11 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_16020]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2735,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.11 | 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) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6320_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16014,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.11 | 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) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2735]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16015,plain,
% 5.87/6.11 ( 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)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.87/6.11 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_16014]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2732,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.87/6.11 | ~ c_lessequals(X1,X2,X0)
% 5.87/6.11 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6319_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16008,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.87/6.11 | ~ c_lessequals(X1,X2,X0)
% 5.87/6.11 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2732]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16009,plain,
% 5.87/6.11 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 5.87/6.11 | ~ c_lessequals(X1,X3,X0)
% 5.87/6.11 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_16008]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2729,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.87/6.11 | ~ c_lessequals(X1,X2,X0)
% 5.87/6.11 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6318_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16002,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.87/6.11 | ~ c_lessequals(X1,X2,X0)
% 5.87/6.11 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2729]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_16003,plain,
% 5.87/6.11 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 5.87/6.11 | ~ c_lessequals(X2,X3,X0)
% 5.87/6.11 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_16002]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2726,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 5.87/6.11 | ~ c_lessequals(X1,X2,X0)
% 5.87/6.11 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6317_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15996,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 5.87/6.11 | ~ c_lessequals(X1,X2,X0)
% 5.87/6.11 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2726]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15997,plain,
% 5.87/6.11 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 5.87/6.11 | ~ c_lessequals(X1,X3,X0)
% 5.87/6.11 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15996]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2723,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 5.87/6.11 | ~ c_lessequals(X1,X2,X0)
% 5.87/6.11 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6316_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15990,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 5.87/6.11 | ~ c_lessequals(X1,X2,X0)
% 5.87/6.11 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2723]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15991,plain,
% 5.87/6.11 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 5.87/6.11 | ~ c_lessequals(X2,X3,X0)
% 5.87/6.11 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15990]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2721,plain,
% 5.87/6.11 ( ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 5.87/6.11 | c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6315_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15986,plain,
% 5.87/6.11 ( ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 5.87/6.11 | c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2721]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2719,plain,
% 5.87/6.11 ( ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 5.87/6.11 | c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6314_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15982,plain,
% 5.87/6.11 ( ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 5.87/6.11 | c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2719]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2671,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.87/6.11 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6302_2) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15886,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.87/6.11 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2671]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15887,plain,
% 5.87/6.11 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15886]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2667,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6301_2) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15878,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2667]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15879,plain,
% 5.87/6.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.11 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15878]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2663,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.87/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6300_2) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15870,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.87/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2663]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15871,plain,
% 5.87/6.11 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.11 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15870]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2659,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6299_2) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15862,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2659]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15863,plain,
% 5.87/6.11 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15862]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2633,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6293_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15810,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2633]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15811,plain,
% 5.87/6.11 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.11 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15810]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2629,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 5.87/6.11 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.11 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6292_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15802,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 5.87/6.11 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.11 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2629]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15803,plain,
% 5.87/6.11 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15802]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2621,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.11 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.11 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6290_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15786,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.11 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.11 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2621]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15787,plain,
% 5.87/6.11 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15786]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2619,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.87/6.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6289_2) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15782,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.87/6.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2619]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15783,plain,
% 5.87/6.11 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15782]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2615,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 5.87/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6288_2) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15774,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 5.87/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2615]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15775,plain,
% 5.87/6.11 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15774]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2611,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6287_2) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15766,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2611]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15767,plain,
% 5.87/6.11 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15766]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2607,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6286_2) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15758,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2607]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15759,plain,
% 5.87/6.11 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15758]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2599,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.87/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6284_2) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15742,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.87/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2599]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15743,plain,
% 5.87/6.11 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15742]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2595,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.87/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6283_2) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15734,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.87/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2595]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15735,plain,
% 5.87/6.11 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15734]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2581,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6280_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15706,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2581]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15707,plain,
% 5.87/6.11 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15706]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2585,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6281_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15714,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2585]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15715,plain,
% 5.87/6.11 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15714]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2579,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6279_2) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15702,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2579]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15703,plain,
% 5.87/6.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15702]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2575,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6278_2) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15694,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2575]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15695,plain,
% 5.87/6.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15694]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2558,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.87/6.11 | 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)) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6274_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15660,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.87/6.11 | 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)) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2558]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2555,plain,
% 5.87/6.11 ( ~ class_Divides_Oring__div(X0)
% 5.87/6.11 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 5.87/6.11 | c_Divides_Odiv__class_Omod(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X3),X2,X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6273_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15654,plain,
% 5.87/6.11 ( ~ class_Divides_Oring__div(X0)
% 5.87/6.11 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 5.87/6.11 | c_Divides_Odiv__class_Omod(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X3),X2,X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2555]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15655,plain,
% 5.87/6.11 ( ~ class_Divides_Oring__div(X0)
% 5.87/6.11 | c_Divides_Odiv__class_Omod(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X3),X2,X0)
% 5.87/6.11 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15654]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2523,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6265_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15590,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2523]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15591,plain,
% 5.87/6.11 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.87/6.11 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15590]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2519,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6264_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15582,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2519]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15583,plain,
% 5.87/6.11 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15582]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2517,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6263_2) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15578,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2517]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15579,plain,
% 5.87/6.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15578]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2513,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6262_2) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15570,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2513]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15571,plain,
% 5.87/6.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15570]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2507,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6261_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15558,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2507]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15559,plain,
% 5.87/6.11 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.87/6.11 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.87/6.11 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15558]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2501,plain,
% 5.87/6.11 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 5.87/6.11 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X0,tc_nat) = X1 ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6259_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15546,plain,
% 5.87/6.11 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 5.87/6.11 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X0,tc_nat) = X1 ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2501]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2484,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.87/6.11 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6255_2) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15512,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.87/6.11 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2484]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15513,plain,
% 5.87/6.11 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.87/6.11 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15512]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2479,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6254_2) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15502,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2479]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15503,plain,
% 5.87/6.11 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15502]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2474,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6253_2) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15492,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2474]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15493,plain,
% 5.87/6.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15492]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2469,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6252_2) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15482,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2469]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15483,plain,
% 5.87/6.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15482]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2455,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.11 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6249_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15454,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.11 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2455]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2451,plain,
% 5.87/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.11 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X0,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6247_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15446,plain,
% 5.87/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.11 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X0,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2451]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2449,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.87/6.11 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6246_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15442,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.87/6.11 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2449]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2447,plain,
% 5.87/6.11 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 5.87/6.11 | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6245_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15438,plain,
% 5.87/6.11 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 5.87/6.11 | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2447]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15439,plain,
% 5.87/6.11 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 5.87/6.11 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15438]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2445,plain,
% 5.87/6.11 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.11 | 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) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6244_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15434,plain,
% 5.87/6.11 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.11 | 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) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2445]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2443,plain,
% 5.87/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.11 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),X1,tc_nat) = c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6243_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15430,plain,
% 5.87/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.11 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),X1,tc_nat) = c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2443]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2440,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.87/6.11 | 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)
% 5.87/6.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6242_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15424,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.87/6.11 | 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)
% 5.87/6.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2440]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2403,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.11 | ~ class_Int_Onumber__ring(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | 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) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6233_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15350,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.11 | ~ class_Int_Onumber__ring(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | 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) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2403]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15351,plain,
% 5.87/6.11 ( 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)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | ~ class_Int_Onumber__ring(X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15350]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2401,plain,
% 5.87/6.11 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.11 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Int_Onumber__class_Onumber__of(c_Int_OMin,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) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6232_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15346,plain,
% 5.87/6.11 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.11 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Int_Onumber__class_Onumber__of(c_Int_OMin,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) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2401]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2399,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.11 | 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) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6231_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15342,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.11 | 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) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2399]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2397,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Fact_Ofact__class_Ofact(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)) = c_Fact_Ofact__class_Ofact(X0,tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6230_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15338,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Fact_Ofact__class_Ofact(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)) = c_Fact_Ofact__class_Ofact(X0,tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2397]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2395,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 5.87/6.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6229_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15334,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 5.87/6.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2395]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15335,plain,
% 5.87/6.11 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15334]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2393,plain,
% 5.87/6.11 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 5.87/6.11 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6228_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15330,plain,
% 5.87/6.11 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 5.87/6.11 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2393]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2345,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6218_1) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15234,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2345]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15235,plain,
% 5.87/6.11 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.11 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15234]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2330,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6215_1) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15204,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2330]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15205,plain,
% 5.87/6.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.11 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15204]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2278,plain,
% 5.87/6.11 ( 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)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6204_2) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15100,plain,
% 5.87/6.11 ( 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)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2278]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2275,plain,
% 5.87/6.11 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3),tc_nat)
% 5.87/6.11 | ~ c_lessequals(X0,X2,tc_nat)
% 5.87/6.11 | ~ c_lessequals(X1,X3,tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6203_2) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15094,plain,
% 5.87/6.11 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3),tc_nat)
% 5.87/6.11 | ~ c_lessequals(X0,X2,tc_nat)
% 5.87/6.11 | ~ c_lessequals(X1,X3,tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2275]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2272,plain,
% 5.87/6.11 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 5.87/6.11 | ~ c_lessequals(X0,X2,tc_nat)
% 5.87/6.11 | ~ c_lessequals(X1,X3,tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6202_2) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15088,plain,
% 5.87/6.11 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 5.87/6.11 | ~ c_lessequals(X0,X2,tc_nat)
% 5.87/6.11 | ~ c_lessequals(X1,X3,tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2272]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2263,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.87/6.11 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6200_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15070,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.87/6.11 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2263]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2260,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.87/6.11 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6199_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15064,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.87/6.11 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2260]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2258,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),X0,tc_nat)
% 5.87/6.11 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_nat),tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X1),X0,tc_nat) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6198_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15060,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),X0,tc_nat)
% 5.87/6.11 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_nat),tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X1),X0,tc_nat) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2258]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2246,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 5.87/6.11 | 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) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6194_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15036,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 5.87/6.11 | 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) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2246]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15037,plain,
% 5.87/6.11 ( 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)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15036]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2243,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.87/6.11 | 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) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6193_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15030,plain,
% 5.87/6.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.87/6.11 | 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) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2243]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15031,plain,
% 5.87/6.11 ( 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)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.11 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.87/6.11 inference(rewriting,[status(thm)],[c_15030]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2238,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.11 | 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)) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6191_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15020,plain,
% 5.87/6.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.11 | 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)) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2238]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2236,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.87/6.11 | 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)) ),
% 5.87/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6190_0) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_15016,plain,
% 5.87/6.11 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.87/6.11 | 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)) ),
% 5.87/6.11 inference(copy,[status(esa)],[c_2236]) ).
% 5.87/6.11
% 5.87/6.11 cnf(c_2234,plain,
% 5.87/6.11 ( ~ class_Divides_Oring__div(X0)
% 5.87/6.11 | c_Divides_Odiv__class_Omod(hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6189_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_15012,plain,
% 5.87/6.12 ( ~ class_Divides_Oring__div(X0)
% 5.87/6.12 | c_Divides_Odiv__class_Omod(hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2234]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2230,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6188_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_15004,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2230]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_15005,plain,
% 5.87/6.12 ( 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)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.87/6.12 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_15004]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2228,plain,
% 5.87/6.12 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6187_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_15000,plain,
% 5.87/6.12 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2228]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2226,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.12 | ~ 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6186_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14996,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.12 | ~ 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2226]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14997,plain,
% 5.87/6.12 ( ~ 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)
% 5.87/6.12 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14996]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2224,plain,
% 5.87/6.12 ( 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)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6185_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14992,plain,
% 5.87/6.12 ( 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)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2224]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14993,plain,
% 5.87/6.12 ( 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)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14992]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2222,plain,
% 5.87/6.12 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 5.87/6.12 | 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)) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6184_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14988,plain,
% 5.87/6.12 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 5.87/6.12 | 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)) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2222]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2216,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.12 | 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)) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6181_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14976,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.12 | 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)) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2216]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2214,plain,
% 5.87/6.12 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.87/6.12 | 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)) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6180_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14972,plain,
% 5.87/6.12 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.87/6.12 | 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)) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2214]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2208,plain,
% 5.87/6.12 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 5.87/6.12 | 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)) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6177_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14960,plain,
% 5.87/6.12 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 5.87/6.12 | 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)) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2208]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2206,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.12 | 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)) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6176_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14956,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.12 | 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)) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2206]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2204,plain,
% 5.87/6.12 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.87/6.12 | 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)) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6175_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14952,plain,
% 5.87/6.12 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.87/6.12 | 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)) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2204]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2202,plain,
% 5.87/6.12 ( ~ 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)
% 5.87/6.12 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6174_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14948,plain,
% 5.87/6.12 ( ~ 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)
% 5.87/6.12 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2202]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2200,plain,
% 5.87/6.12 ( ~ 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)
% 5.87/6.12 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6173_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14944,plain,
% 5.87/6.12 ( ~ 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)
% 5.87/6.12 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2200]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2198,plain,
% 5.87/6.12 ( ~ 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)
% 5.87/6.12 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6172_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14940,plain,
% 5.87/6.12 ( ~ 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)
% 5.87/6.12 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2198]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2196,plain,
% 5.87/6.12 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 5.87/6.12 | c_lessequals(X1,X2,tc_nat) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6171_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14936,plain,
% 5.87/6.12 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 5.87/6.12 | c_lessequals(X1,X2,tc_nat) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2196]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2194,plain,
% 5.87/6.12 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) = hAPP(c_Suc,c_Divides_Odiv__class_Odiv(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat))
% 5.87/6.12 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6170_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14932,plain,
% 5.87/6.12 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) = hAPP(c_Suc,c_Divides_Odiv__class_Odiv(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat))
% 5.87/6.12 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2194]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14933,plain,
% 5.87/6.12 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.12 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) = hAPP(c_Suc,c_Divides_Odiv__class_Odiv(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat)) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14932]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2184,plain,
% 5.87/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.12 | c_lessequals(X2,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0,tc_nat),tc_nat) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6167_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14912,plain,
% 5.87/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.12 | c_lessequals(X2,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0,tc_nat),tc_nat) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2184]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14913,plain,
% 5.87/6.12 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X2,tc_nat),tc_nat)
% 5.87/6.12 | ~ c_lessequals(X2,X1,tc_nat) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14912]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2182,plain,
% 5.87/6.12 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6166_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14908,plain,
% 5.87/6.12 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2182]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2180,plain,
% 5.87/6.12 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6165_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14904,plain,
% 5.87/6.12 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2180]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2178,plain,
% 5.87/6.12 ( ~ 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)
% 5.87/6.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6164_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14900,plain,
% 5.87/6.12 ( ~ 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)
% 5.87/6.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2178]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2176,plain,
% 5.87/6.12 ( ~ 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)
% 5.87/6.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6163_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14896,plain,
% 5.87/6.12 ( ~ 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)
% 5.87/6.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2176]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2174,plain,
% 5.87/6.12 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 5.87/6.12 | hBOOL(hAPP(X0,X1)) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6162_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14892,plain,
% 5.87/6.12 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 5.87/6.12 | hBOOL(hAPP(X0,X1)) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2174]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2170,plain,
% 5.87/6.12 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.87/6.12 | c_HOL_Ominus__class_Ominus(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_HOL_Ominus__class_Ominus(X2,X3,X0)) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6160_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14884,plain,
% 5.87/6.12 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.87/6.12 | c_HOL_Ominus__class_Ominus(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_HOL_Ominus__class_Ominus(X2,X3,X0)) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2170]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2168,plain,
% 5.87/6.12 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.12 | 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)) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6159_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14880,plain,
% 5.87/6.12 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.12 | 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)) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2168]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2166,plain,
% 5.87/6.12 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6158_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14876,plain,
% 5.87/6.12 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2166]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2165,plain,
% 5.87/6.12 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6157_2) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14874,plain,
% 5.87/6.12 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2165]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2160,plain,
% 5.87/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 5.87/6.12 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6156_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14864,plain,
% 5.87/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 5.87/6.12 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2160]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14865,plain,
% 5.87/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.12 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14864]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2158,plain,
% 5.87/6.12 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 5.87/6.12 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6155_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14860,plain,
% 5.87/6.12 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 5.87/6.12 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2158]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14861,plain,
% 5.87/6.12 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.87/6.12 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14860]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2157,plain,
% 5.87/6.12 ( 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)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6154_2) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14858,plain,
% 5.87/6.12 ( 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)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2157]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2154,plain,
% 5.87/6.12 ( c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 5.87/6.12 | ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.87/6.12 | ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6153_2) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14852,plain,
% 5.87/6.12 ( c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 5.87/6.12 | ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.87/6.12 | ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2154]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2138,plain,
% 5.87/6.12 ( 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))
% 5.87/6.12 | X2 = X3
% 5.87/6.12 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6149_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14820,plain,
% 5.87/6.12 ( 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))
% 5.87/6.12 | X2 = X3
% 5.87/6.12 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2138]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14821,plain,
% 5.87/6.12 ( 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))
% 5.87/6.12 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.87/6.12 | X2 = X3 ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14820]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2126,plain,
% 5.87/6.12 ( ~ class_RealVector_Oreal__normed__field(X0)
% 5.87/6.12 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6146_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14796,plain,
% 5.87/6.12 ( ~ class_RealVector_Oreal__normed__field(X0)
% 5.87/6.12 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2126]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2124,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.12 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6145_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14792,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.12 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2124]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2121,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6144_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14786,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2121]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2114,plain,
% 5.87/6.12 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.87/6.12 | 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)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6142_2) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14772,plain,
% 5.87/6.12 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.87/6.12 | 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)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2114]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14773,plain,
% 5.87/6.12 ( 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)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 5.87/6.12 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14772]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2102,plain,
% 5.87/6.12 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 5.87/6.12 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 5.87/6.12 | ~ c_lessequals(X1,X3,X0)
% 5.87/6.12 | ~ c_lessequals(X2,X4,X0) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6139_2) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14748,plain,
% 5.87/6.12 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 5.87/6.12 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 5.87/6.12 | ~ c_lessequals(X1,X3,X0)
% 5.87/6.12 | ~ c_lessequals(X2,X4,X0) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2102]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14749,plain,
% 5.87/6.12 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 5.87/6.12 | ~ c_lessequals(X1,X3,X0)
% 5.87/6.12 | ~ c_lessequals(X2,X4,X0)
% 5.87/6.12 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14748]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2098,plain,
% 5.87/6.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.12 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Divides_Odiv__class_Odiv(X1,X0,tc_nat)),X1,tc_nat) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6138_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14740,plain,
% 5.87/6.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.12 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Divides_Odiv__class_Odiv(X1,X0,tc_nat)),X1,tc_nat) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2098]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14741,plain,
% 5.87/6.12 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Divides_Odiv__class_Odiv(X1,X0,tc_nat)),X1,tc_nat)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14740]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2095,plain,
% 5.87/6.12 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.12 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),c_HOL_Oone__class_Oone(X0))
% 5.87/6.12 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6137_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14734,plain,
% 5.87/6.12 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.12 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),c_HOL_Oone__class_Oone(X0))
% 5.87/6.12 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2095]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2092,plain,
% 5.87/6.12 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.12 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X1,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Odiv(X2,X1,X0)),c_HOL_Oone__class_Oone(X0))
% 5.87/6.12 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6136_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14728,plain,
% 5.87/6.12 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.12 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X1,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Odiv(X2,X1,X0)),c_HOL_Oone__class_Oone(X0))
% 5.87/6.12 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2092]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2090,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6135_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14724,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2090]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2088,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 5.87/6.12 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6134_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14720,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 5.87/6.12 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2088]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2076,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6131_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14696,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2076]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14697,plain,
% 5.87/6.12 ( 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)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 5.87/6.12 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14696]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2061,plain,
% 5.87/6.12 ( c_Divides_Odiv__class_Odiv(hAPP(c_Suc,X0),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) = hAPP(c_Suc,c_Divides_Odiv__class_Odiv(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat))
% 5.87/6.12 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6127_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14666,plain,
% 5.87/6.12 ( c_Divides_Odiv__class_Odiv(hAPP(c_Suc,X0),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) = hAPP(c_Suc,c_Divides_Odiv__class_Odiv(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat))
% 5.87/6.12 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2061]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14667,plain,
% 5.87/6.12 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.12 | c_Divides_Odiv__class_Odiv(hAPP(c_Suc,X0),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) = hAPP(c_Suc,c_Divides_Odiv__class_Odiv(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14666]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2041,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6122_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14626,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2041]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14627,plain,
% 5.87/6.12 ( 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)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.87/6.12 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14626]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2037,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6121_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14618,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2037]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14619,plain,
% 5.87/6.12 ( 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)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.87/6.12 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14618]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2025,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6118_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14594,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2025]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14595,plain,
% 5.87/6.12 ( 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)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.87/6.12 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14594]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_2021,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6117_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14586,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_2021]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14587,plain,
% 5.87/6.12 ( 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)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 5.87/6.12 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14586]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1983,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.12 | ~ 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6107_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14510,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.12 | ~ 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1983]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14511,plain,
% 5.87/6.12 ( ~ 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)
% 5.87/6.12 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14510]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1967,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 5.87/6.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.87/6.12 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.12 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6104_2) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14478,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 5.87/6.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.87/6.12 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.12 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1967]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14479,plain,
% 5.87/6.12 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.12 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.12 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 5.87/6.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.12 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14478]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1956,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.12 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.87/6.12 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X2,X0)
% 5.87/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6102_2) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14456,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.12 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.87/6.12 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X2,X0)
% 5.87/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1956]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14457,plain,
% 5.87/6.12 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0)
% 5.87/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.12 | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0)
% 5.87/6.12 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14456]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1951,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.12 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.87/6.12 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0)
% 5.87/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6101_2) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14446,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.12 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.87/6.12 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0)
% 5.87/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1951]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14447,plain,
% 5.87/6.12 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0)
% 5.87/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.12 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.87/6.12 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14446]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1929,plain,
% 5.87/6.12 ( ~ 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)
% 5.87/6.12 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6096_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14402,plain,
% 5.87/6.12 ( ~ 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)
% 5.87/6.12 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1929]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1927,plain,
% 5.87/6.12 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6095_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14398,plain,
% 5.87/6.12 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1927]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1925,plain,
% 5.87/6.12 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6094_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14394,plain,
% 5.87/6.12 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1925]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1912,plain,
% 5.87/6.12 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.87/6.12 | ~ c_lessequals(X1,X2,tc_nat)
% 5.87/6.12 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6091_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14368,plain,
% 5.87/6.12 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.87/6.12 | ~ c_lessequals(X1,X2,tc_nat)
% 5.87/6.12 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1912]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14369,plain,
% 5.87/6.12 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.87/6.12 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.87/6.12 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14368]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1909,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6090_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14362,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1909]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1866,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6081_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14276,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1866]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14277,plain,
% 5.87/6.12 ( 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)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.87/6.12 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14276]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1861,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6079_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14266,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1861]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1857,plain,
% 5.87/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.12 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6077_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14258,plain,
% 5.87/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.12 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1857]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1854,plain,
% 5.87/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.12 | ~ c_lessequals(X0,X2,tc_nat)
% 5.87/6.12 | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X1,tc_nat) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6076_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14252,plain,
% 5.87/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.12 | ~ c_lessequals(X0,X2,tc_nat)
% 5.87/6.12 | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X1,tc_nat) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1854]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1851,plain,
% 5.87/6.12 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.12 | ~ hBOOL(hAPP(X2,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)))
% 5.87/6.12 | hBOOL(hAPP(X2,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6075_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14246,plain,
% 5.87/6.12 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.12 | ~ hBOOL(hAPP(X2,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)))
% 5.87/6.12 | hBOOL(hAPP(X2,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1851]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14247,plain,
% 5.87/6.12 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.87/6.12 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14246]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1849,plain,
% 5.87/6.12 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),c_Divides_Odiv__class_Odiv(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)) = X0 ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6074_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14242,plain,
% 5.87/6.12 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.12 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),c_Divides_Odiv__class_Odiv(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)) = X0 ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1849]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1846,plain,
% 5.87/6.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.87/6.12 | ~ c_lessequals(X1,X2,X0)
% 5.87/6.12 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 5.87/6.12 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6073_1) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14236,plain,
% 5.87/6.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.87/6.12 | ~ c_lessequals(X1,X2,X0)
% 5.87/6.12 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 5.87/6.12 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1846]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14237,plain,
% 5.87/6.12 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 5.87/6.12 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 5.87/6.12 | ~ c_lessequals(X4,X3,X1)
% 5.87/6.12 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14236]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1843,plain,
% 5.87/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.12 | c_lessequals(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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6072_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14230,plain,
% 5.87/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.12 | c_lessequals(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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1843]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14231,plain,
% 5.87/6.12 ( c_lessequals(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)
% 5.87/6.12 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14230]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1841,plain,
% 5.87/6.12 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6071_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14226,plain,
% 5.87/6.12 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1841]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14227,plain,
% 5.87/6.12 ( 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)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14226]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1839,plain,
% 5.87/6.12 ( ~ 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)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6070_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14222,plain,
% 5.87/6.12 ( ~ 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)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1839]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1799,plain,
% 5.87/6.12 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.87/6.12 | 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)) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6063_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14142,plain,
% 5.87/6.12 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.87/6.12 | 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)) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1799]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1797,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.12 | 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)) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6062_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14138,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.12 | 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)) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1797]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1794,plain,
% 5.87/6.12 ( ~ 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)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.12 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6061_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14132,plain,
% 5.87/6.12 ( ~ 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)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.12 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1794]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1785,plain,
% 5.87/6.12 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.12 | c_lessequals(X1,X2,tc_nat) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6058_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14114,plain,
% 5.87/6.12 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.12 | c_lessequals(X1,X2,tc_nat) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1785]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14115,plain,
% 5.87/6.12 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 5.87/6.12 | c_lessequals(X1,X2,tc_nat)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14114]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1760,plain,
% 5.87/6.12 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.87/6.12 | ~ c_lessequals(X1,X0,tc_nat)
% 5.87/6.12 | ~ c_lessequals(X1,X2,tc_nat)
% 5.87/6.12 | ~ c_lessequals(X0,X2,tc_nat) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6051_3) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14064,plain,
% 5.87/6.12 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.87/6.12 | ~ c_lessequals(X1,X0,tc_nat)
% 5.87/6.12 | ~ c_lessequals(X1,X2,tc_nat)
% 5.87/6.12 | ~ c_lessequals(X0,X2,tc_nat) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1760]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1737,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.12 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 5.87/6.12 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6047_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14018,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.12 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 5.87/6.12 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1737]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14019,plain,
% 5.87/6.12 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 5.87/6.12 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.87/6.12 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 5.87/6.12 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14018]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1729,plain,
% 5.87/6.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.12 | hAPP(c_Suc,c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat)) = c_Divides_Odiv__class_Odiv(X1,X0,tc_nat)
% 5.87/6.12 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6045_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14002,plain,
% 5.87/6.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.12 | hAPP(c_Suc,c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat)) = c_Divides_Odiv__class_Odiv(X1,X0,tc_nat)
% 5.87/6.12 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1729]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_14003,plain,
% 5.87/6.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.12 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 5.87/6.12 | hAPP(c_Suc,c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat)) = c_Divides_Odiv__class_Odiv(X1,X0,tc_nat) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_14002]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1727,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6044_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13998,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1727]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1723,plain,
% 5.87/6.12 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.87/6.12 | 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)) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6042_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13990,plain,
% 5.87/6.12 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.87/6.12 | 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)) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1723]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1721,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.12 | 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)) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6041_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13986,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.12 | 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)) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1721]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1719,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6040_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13982,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1719]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1699,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.12 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 5.87/6.12 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6036_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13942,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.12 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 5.87/6.12 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1699]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13943,plain,
% 5.87/6.12 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 5.87/6.12 | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.12 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_13942]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1643,plain,
% 5.87/6.12 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.87/6.12 | c_HOL_Ominus__class_Ominus(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_HOL_Ominus__class_Ominus(X1,X3,X0)),X2) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6024_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13830,plain,
% 5.87/6.12 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.87/6.12 | c_HOL_Ominus__class_Ominus(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_HOL_Ominus__class_Ominus(X1,X3,X0)),X2) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1643]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1641,plain,
% 5.87/6.12 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6023_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13826,plain,
% 5.87/6.12 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1641]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1638,plain,
% 5.87/6.12 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.12 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X2,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),c_Divides_Odiv__class_Odiv(X1,X2,X0))
% 5.87/6.12 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6022_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13820,plain,
% 5.87/6.12 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.12 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X2,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),c_Divides_Odiv__class_Odiv(X1,X2,X0))
% 5.87/6.12 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1638]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1635,plain,
% 5.87/6.12 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.12 | c_Divides_Odiv__class_Odiv(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_Divides_Odiv__class_Odiv(X1,X3,X0))
% 5.87/6.12 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6021_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13814,plain,
% 5.87/6.12 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.12 | c_Divides_Odiv__class_Odiv(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_Divides_Odiv__class_Odiv(X1,X3,X0))
% 5.87/6.12 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1635]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1633,plain,
% 5.87/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.12 | c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2,tc_nat) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6020_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13810,plain,
% 5.87/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.12 | c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2,tc_nat) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1633]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1631,plain,
% 5.87/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.12 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(c_Suc,X1),tc_nat) = c_HOL_Ominus__class_Ominus(X2,hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),tc_nat) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6019_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13806,plain,
% 5.87/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.12 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(c_Suc,X1),tc_nat) = c_HOL_Ominus__class_Ominus(X2,hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),tc_nat) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1631]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1629,plain,
% 5.87/6.12 ( 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))
% 5.87/6.12 | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = c_Divides_Odiv__class_Omod(X3,X1,tc_nat) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6018_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13802,plain,
% 5.87/6.12 ( 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))
% 5.87/6.12 | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = c_Divides_Odiv__class_Omod(X3,X1,tc_nat) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1629]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1627,plain,
% 5.87/6.12 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6017_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13798,plain,
% 5.87/6.12 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1627]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1623,plain,
% 5.87/6.12 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6015_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13790,plain,
% 5.87/6.12 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1623]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1621,plain,
% 5.87/6.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6014_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13786,plain,
% 5.87/6.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1621]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13787,plain,
% 5.87/6.12 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_13786]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1619,plain,
% 5.87/6.12 ( ~ class_RealVector_Oreal__normed__field(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6013_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13782,plain,
% 5.87/6.12 ( ~ class_RealVector_Oreal__normed__field(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1619]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1617,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6012_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13778,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1617]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1606,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.12 | 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)
% 5.87/6.12 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6009_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13756,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.12 | 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)
% 5.87/6.12 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1606]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1598,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6007_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13740,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1598]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1594,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.12 | 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))
% 5.87/6.12 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6006_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13732,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.12 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.12 | 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))
% 5.87/6.12 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1594]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1582,plain,
% 5.87/6.12 ( ~ class_Divides_Oring__div(X0)
% 5.87/6.12 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6003_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13708,plain,
% 5.87/6.12 ( ~ class_Divides_Oring__div(X0)
% 5.87/6.12 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1582]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1580,plain,
% 5.87/6.12 ( ~ class_Divides_Oring__div(X0)
% 5.87/6.12 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6002_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13704,plain,
% 5.87/6.12 ( ~ class_Divides_Oring__div(X0)
% 5.87/6.12 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1580]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1578,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6001_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13700,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1578]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1575,plain,
% 5.87/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.12 | hAPP(c_Suc,c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat)) = c_Divides_Odiv__class_Odiv(X1,X0,tc_nat) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6000_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13694,plain,
% 5.87/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.12 | hAPP(c_Suc,c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat)) = c_Divides_Odiv__class_Odiv(X1,X0,tc_nat) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1575]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1512,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5984_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13568,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1512]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13569,plain,
% 5.87/6.12 ( 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)
% 5.87/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 5.87/6.12 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_13568]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1414,plain,
% 5.87/6.12 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5967_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13372,plain,
% 5.87/6.12 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1414]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1411,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.12 | 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)
% 5.87/6.12 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5966_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13366,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.12 | 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)
% 5.87/6.12 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1411]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1408,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.12 | 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)
% 5.87/6.12 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5965_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13360,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.12 | 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)
% 5.87/6.12 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1408]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1406,plain,
% 5.87/6.12 ( hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)
% 5.87/6.12 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5964_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13356,plain,
% 5.87/6.12 ( hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)
% 5.87/6.12 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1406]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1374,plain,
% 5.87/6.12 ( 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)
% 5.87/6.12 | 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)
% 5.87/6.12 | 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)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5959_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13292,plain,
% 5.87/6.12 ( 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)
% 5.87/6.12 | 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)
% 5.87/6.12 | 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)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1374]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13293,plain,
% 5.87/6.12 ( 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)
% 5.87/6.12 | 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)
% 5.87/6.12 | 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)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(rewriting,[status(thm)],[c_13292]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1372,plain,
% 5.87/6.12 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5958_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13288,plain,
% 5.87/6.12 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1372]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1370,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5957_0) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_13284,plain,
% 5.87/6.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.12 inference(copy,[status(esa)],[c_1370]) ).
% 5.87/6.12
% 5.87/6.12 cnf(c_1368,plain,
% 5.87/6.12 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 5.87/6.12 | 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) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5956_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_13280,plain,
% 5.87/6.13 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 5.87/6.13 | 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) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1368]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1362,plain,
% 5.87/6.13 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.87/6.13 | 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) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5953_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_13268,plain,
% 5.87/6.13 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.87/6.13 | 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) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1362]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1360,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 5.87/6.13 | 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) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5952_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_13264,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 5.87/6.13 | 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) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1360]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1358,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.13 | 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) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5951_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_13260,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.13 | 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) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1358]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1356,plain,
% 5.87/6.13 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X0)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0)
% 5.87/6.13 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5950_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_13256,plain,
% 5.87/6.13 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X0)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0)
% 5.87/6.13 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1356]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1314,plain,
% 5.87/6.13 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.87/6.13 | c_lessequals(X0,X2,tc_nat)
% 5.87/6.13 | ~ c_lessequals(X1,X0,tc_nat)
% 5.87/6.13 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5942_2) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_13172,plain,
% 5.87/6.13 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.87/6.13 | c_lessequals(X0,X2,tc_nat)
% 5.87/6.13 | ~ c_lessequals(X1,X0,tc_nat)
% 5.87/6.13 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1314]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1313,plain,
% 5.87/6.13 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.87/6.13 | ~ c_lessequals(X1,X2,tc_nat)
% 5.87/6.13 | c_lessequals(X0,X2,tc_nat)
% 5.87/6.13 | ~ c_lessequals(X1,X0,tc_nat) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5942_1) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_13170,plain,
% 5.87/6.13 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.87/6.13 | ~ c_lessequals(X1,X2,tc_nat)
% 5.87/6.13 | c_lessequals(X0,X2,tc_nat)
% 5.87/6.13 | ~ c_lessequals(X1,X0,tc_nat) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1313]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1312,plain,
% 5.87/6.13 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.87/6.13 | ~ c_lessequals(X1,X2,tc_nat)
% 5.87/6.13 | ~ c_lessequals(X1,X0,tc_nat)
% 5.87/6.13 | c_lessequals(X0,X2,tc_nat) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5942_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_13168,plain,
% 5.87/6.13 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.87/6.13 | ~ c_lessequals(X1,X2,tc_nat)
% 5.87/6.13 | ~ c_lessequals(X1,X0,tc_nat)
% 5.87/6.13 | c_lessequals(X0,X2,tc_nat) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1312]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1310,plain,
% 5.87/6.13 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.87/6.13 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X3,X0)),c_HOL_Ominus__class_Ominus(X2,X4,X0)) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5941_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_13164,plain,
% 5.87/6.13 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.87/6.13 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X3,X0)),c_HOL_Ominus__class_Ominus(X2,X4,X0)) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1310]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1290,plain,
% 5.87/6.13 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.87/6.13 | 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)) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5937_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_13124,plain,
% 5.87/6.13 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.87/6.13 | 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)) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1290]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1287,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.13 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),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)) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5936_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_13118,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.13 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),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)) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1287]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1283,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.13 | 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)
% 5.87/6.13 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5935_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_13110,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.13 | 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)
% 5.87/6.13 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1283]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1281,plain,
% 5.87/6.13 ( 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)
% 5.87/6.13 | c_Parity_Oeven__odd__class_Oeven(c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5934_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_13106,plain,
% 5.87/6.13 ( 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)
% 5.87/6.13 | c_Parity_Oeven__odd__class_Oeven(c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1281]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_13107,plain,
% 5.87/6.13 ( c_Parity_Oeven__odd__class_Oeven(c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat)
% 5.87/6.13 | 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) ),
% 5.87/6.13 inference(rewriting,[status(thm)],[c_13106]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1277,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.13 | 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) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5933_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_13098,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.13 | 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) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1277]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_13099,plain,
% 5.87/6.13 ( 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)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 5.87/6.13 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.87/6.13 inference(rewriting,[status(thm)],[c_13098]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1275,plain,
% 5.87/6.13 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.13 | 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)
% 5.87/6.13 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 5.87/6.13 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5932_2) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_13094,plain,
% 5.87/6.13 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.13 | 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)
% 5.87/6.13 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 5.87/6.13 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1275]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1271,plain,
% 5.87/6.13 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.13 | 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)
% 5.87/6.13 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 5.87/6.13 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5931_2) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_13086,plain,
% 5.87/6.13 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.13 | 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)
% 5.87/6.13 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 5.87/6.13 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1271]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1262,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oring(X0)
% 5.87/6.13 | ~ class_Int_Onumber(X0)
% 5.87/6.13 | c_HOL_Ominus__class_Ominus(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)),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X3,X0)),c_Int_Onumber__class_Onumber__of(X2,X0)) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5929_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_13068,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oring(X0)
% 5.87/6.13 | ~ class_Int_Onumber(X0)
% 5.87/6.13 | c_HOL_Ominus__class_Ominus(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)),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X3,X0)),c_Int_Onumber__class_Onumber__of(X2,X0)) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1262]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1260,plain,
% 5.87/6.13 ( ~ class_Divides_Oring__div(X0)
% 5.87/6.13 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 5.87/6.13 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 5.87/6.13 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5928_2) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_13064,plain,
% 5.87/6.13 ( ~ class_Divides_Oring__div(X0)
% 5.87/6.13 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 5.87/6.13 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 5.87/6.13 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1260]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1240,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.13 | ~ class_Int_Onumber(X0)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.13 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 5.87/6.13 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5925_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_13024,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.13 | ~ class_Int_Onumber(X0)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.13 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 5.87/6.13 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1240]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_13025,plain,
% 5.87/6.13 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.87/6.13 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.13 | ~ class_Int_Onumber(X0)
% 5.87/6.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.13 inference(rewriting,[status(thm)],[c_13024]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1234,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.13 | ~ class_Int_Onumber(X0)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 5.87/6.13 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5924_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_13012,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.13 | ~ class_Int_Onumber(X0)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 5.87/6.13 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1234]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_13013,plain,
% 5.87/6.13 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.87/6.13 | ~ class_Int_Onumber(X0)
% 5.87/6.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.13 inference(rewriting,[status(thm)],[c_13012]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1231,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oring(X0)
% 5.87/6.13 | ~ class_Int_Onumber(X0)
% 5.87/6.13 | c_HOL_Ominus__class_Ominus(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),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),c_HOL_Ominus__class_Ominus(X2,X3,X0)) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5923_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_13006,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oring(X0)
% 5.87/6.13 | ~ class_Int_Onumber(X0)
% 5.87/6.13 | c_HOL_Ominus__class_Ominus(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),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),c_HOL_Ominus__class_Ominus(X2,X3,X0)) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1231]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1229,plain,
% 5.87/6.13 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.13 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),hAPP(c_Suc,c_Divides_Odiv__class_Odiv(X1,X0,tc_nat))),tc_nat) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5922_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_13002,plain,
% 5.87/6.13 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.87/6.13 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),hAPP(c_Suc,c_Divides_Odiv__class_Odiv(X1,X0,tc_nat))),tc_nat) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1229]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1227,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.13 | 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)) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5921_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12998,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.13 | 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)) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1227]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1225,plain,
% 5.87/6.13 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.13 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Int_Onumber__class_Onumber__of(c_Int_OMin,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_Int_Onumber__class_Onumber__of(c_Int_OMin,X0) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5920_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12994,plain,
% 5.87/6.13 ( ~ class_Int_Onumber__ring(X0)
% 5.87/6.13 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Int_Onumber__class_Onumber__of(c_Int_OMin,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_Int_Onumber__class_Onumber__of(c_Int_OMin,X0) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1225]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1219,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.13 | ~ class_Int_Onumber(X0)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.13 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 5.87/6.13 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5919_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12982,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.13 | ~ class_Int_Onumber(X0)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.13 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 5.87/6.13 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1219]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12983,plain,
% 5.87/6.13 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 5.87/6.13 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X2)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 5.87/6.13 | ~ class_Int_Onumber(X2)
% 5.87/6.13 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 5.87/6.13 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 5.87/6.13 inference(rewriting,[status(thm)],[c_12982]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1189,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.13 | ~ class_Int_Onumber(X0)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.13 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 5.87/6.13 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5914_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12922,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.13 | ~ class_Int_Onumber(X0)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 5.87/6.13 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 5.87/6.13 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1189]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12923,plain,
% 5.87/6.13 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 5.87/6.13 | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 5.87/6.13 | ~ class_Int_Onumber(X0)
% 5.87/6.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.13 inference(rewriting,[status(thm)],[c_12922]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1175,plain,
% 5.87/6.13 ( ~ c_lessequals(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)
% 5.87/6.13 | c_lessequals(X1,X2,tc_nat) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5911_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12894,plain,
% 5.87/6.13 ( ~ c_lessequals(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)
% 5.87/6.13 | c_lessequals(X1,X2,tc_nat) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1175]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1173,plain,
% 5.87/6.13 ( ~ 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)
% 5.87/6.13 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5910_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12890,plain,
% 5.87/6.13 ( ~ 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)
% 5.87/6.13 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1173]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1142,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.13 | ~ class_Int_Onumber(X0)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.13 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 5.87/6.13 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5904_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12828,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.13 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 5.87/6.13 | ~ class_Int_Onumber(X0)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.87/6.13 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 5.87/6.13 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1142]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12829,plain,
% 5.87/6.13 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 5.87/6.13 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X2)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.87/6.13 | ~ class_Int_Onumber(X2)
% 5.87/6.13 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 5.87/6.13 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 5.87/6.13 inference(rewriting,[status(thm)],[c_12828]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1122,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.13 | 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)) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5900_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12788,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.13 | 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)) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1122]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1120,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.13 | 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))) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5899_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12784,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.13 | 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))) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1120]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1118,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.13 | 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)) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5898_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12780,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.13 | 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)) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1118]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1116,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.13 | 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) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5897_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12776,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.13 | 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) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1116]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1114,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.13 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),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)),X0) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5896_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12772,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.13 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),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)),X0) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1114]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12773,plain,
% 5.87/6.13 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),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)),X0)
% 5.87/6.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 5.87/6.13 inference(rewriting,[status(thm)],[c_12772]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1077,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.13 | 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) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5889_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12698,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.13 | 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) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1077]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12699,plain,
% 5.87/6.13 ( 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)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(X0,X2,X1)
% 5.87/6.13 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 5.87/6.13 inference(rewriting,[status(thm)],[c_12698]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1074,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.13 | 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) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5888_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12692,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.13 | 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) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1074]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12693,plain,
% 5.87/6.13 ( 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)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.87/6.13 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 5.87/6.13 inference(rewriting,[status(thm)],[c_12692]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1072,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 5.87/6.13 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(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(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)) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5887_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12688,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 5.87/6.13 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(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(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)) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1072]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1012,plain,
% 5.87/6.13 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.13 | 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) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5877_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12568,plain,
% 5.87/6.13 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.13 | 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) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1012]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1008,plain,
% 5.87/6.13 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.13 | 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) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5875_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12560,plain,
% 5.87/6.13 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.13 | 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) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1008]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_1006,plain,
% 5.87/6.13 ( ~ class_Divides_Oring__div(X0)
% 5.87/6.13 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5874_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12556,plain,
% 5.87/6.13 ( ~ class_Divides_Oring__div(X0)
% 5.87/6.13 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_1006]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_956,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 5.87/6.13 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(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))) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0)) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5865_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12456,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 5.87/6.13 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(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))) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0)) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_956]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_926,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.13 | c_lessequals(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) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5860_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12396,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.13 | c_lessequals(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) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_926]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12397,plain,
% 5.87/6.13 ( c_lessequals(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)
% 5.87/6.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.87/6.13 inference(rewriting,[status(thm)],[c_12396]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_862,plain,
% 5.87/6.13 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.13 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0))),c_Divides_Odiv__class_Omod(X2,X1,X0)) = X2 ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5849_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12268,plain,
% 5.87/6.13 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.13 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0))),c_Divides_Odiv__class_Omod(X2,X1,X0)) = X2 ),
% 5.87/6.13 inference(copy,[status(esa)],[c_862]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_860,plain,
% 5.87/6.13 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.13 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)) = X1 ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5848_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12264,plain,
% 5.87/6.13 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.13 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)) = X1 ),
% 5.87/6.13 inference(copy,[status(esa)],[c_860]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_853,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Osemiring(X0)
% 5.87/6.13 | ~ class_Int_Onumber(X0)
% 5.87/6.13 | 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)) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5846_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12250,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Osemiring(X0)
% 5.87/6.13 | ~ class_Int_Onumber(X0)
% 5.87/6.13 | 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)) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_853]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_795,plain,
% 5.87/6.13 ( hAPP(c_Suc,c_HOL_Ominus__class_Ominus(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),c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = 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)
% 5.87/6.13 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5837_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12134,plain,
% 5.87/6.13 ( hAPP(c_Suc,c_HOL_Ominus__class_Ominus(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),c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = 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)
% 5.87/6.13 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_795]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_793,plain,
% 5.87/6.13 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 5.87/6.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X1),X0,tc_nat)),c_Fact_Ofact__class_Ofact(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)) = c_Fact_Ofact__class_Ofact(c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X1),X0,tc_nat),tc_nat) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5836_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12130,plain,
% 5.87/6.13 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 5.87/6.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X1),X0,tc_nat)),c_Fact_Ofact__class_Ofact(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)) = c_Fact_Ofact__class_Ofact(c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X1),X0,tc_nat),tc_nat) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_793]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_782,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Osemiring(X0)
% 5.87/6.13 | ~ class_Int_Onumber(X0)
% 5.87/6.13 | 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)) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5833_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12108,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Osemiring(X0)
% 5.87/6.13 | ~ class_Int_Onumber(X0)
% 5.87/6.13 | 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)) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_782]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_780,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oring__1(X0)
% 5.87/6.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0))),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)),X1) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5832_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12104,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oring__1(X0)
% 5.87/6.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0))),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)),X1) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_780]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_778,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.13 | 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)) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5831_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12100,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.13 | 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)) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_778]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_776,plain,
% 5.87/6.13 ( 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)
% 5.87/6.13 | ~ c_Parity_Oeven__odd__class_Oeven(c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5830_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12096,plain,
% 5.87/6.13 ( 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)
% 5.87/6.13 | ~ c_Parity_Oeven__odd__class_Oeven(c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_776]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12097,plain,
% 5.87/6.13 ( ~ c_Parity_Oeven__odd__class_Oeven(c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat)
% 5.87/6.13 | 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) ),
% 5.87/6.13 inference(rewriting,[status(thm)],[c_12096]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_773,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.13 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(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),X4),X2),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.87/6.13 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5829_1) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12090,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.13 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(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),X4),X2),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.87/6.13 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_773]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_772,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.13 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(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),X4),X2),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.87/6.13 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.13 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5829_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12088,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.13 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(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),X4),X2),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 5.87/6.13 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.13 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_772]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_770,plain,
% 5.87/6.13 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.13 | 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) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5828_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12084,plain,
% 5.87/6.13 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.13 | 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) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_770]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_768,plain,
% 5.87/6.13 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.13 | 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) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5827_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12080,plain,
% 5.87/6.13 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.13 | 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) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_768]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_761,plain,
% 5.87/6.13 ( ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat)))
% 5.87/6.13 | hBOOL(hAPP(X0,X2)) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5824_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12066,plain,
% 5.87/6.13 ( ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat)))
% 5.87/6.13 | hBOOL(hAPP(X0,X2)) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_761]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_759,plain,
% 5.87/6.13 ( 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)))),c_Divides_Odiv__class_Odiv(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat))) = X0
% 5.87/6.13 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5823_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12062,plain,
% 5.87/6.13 ( 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)))),c_Divides_Odiv__class_Odiv(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat))) = X0
% 5.87/6.13 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_759]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12063,plain,
% 5.87/6.13 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 5.87/6.13 | 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)))),c_Divides_Odiv__class_Odiv(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat))) = X0 ),
% 5.87/6.13 inference(rewriting,[status(thm)],[c_12062]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_757,plain,
% 5.87/6.13 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),c_Fact_Ofact__class_Ofact(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)) = c_Fact_Ofact__class_Ofact(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 5.87/6.13 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5822_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12058,plain,
% 5.87/6.13 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),c_Fact_Ofact__class_Ofact(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)) = c_Fact_Ofact__class_Ofact(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 5.87/6.13 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_757]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_755,plain,
% 5.87/6.13 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.87/6.13 | 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)) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5821_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_12054,plain,
% 5.87/6.13 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.87/6.13 | 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)) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_755]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_722,plain,
% 5.87/6.13 ( 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))
% 5.87/6.13 | X0 = X2
% 5.87/6.13 | X1 = X3 ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5815_1) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11988,plain,
% 5.87/6.13 ( 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))
% 5.87/6.13 | X0 = X2
% 5.87/6.13 | X1 = X3 ),
% 5.87/6.13 inference(copy,[status(esa)],[c_722]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_721,plain,
% 5.87/6.13 ( 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))
% 5.87/6.13 | X1 = X3
% 5.87/6.13 | X0 = X2 ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5815_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11986,plain,
% 5.87/6.13 ( 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))
% 5.87/6.13 | X1 = X3
% 5.87/6.13 | X0 = X2 ),
% 5.87/6.13 inference(copy,[status(esa)],[c_721]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_719,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.13 | c_lessequals(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),X0) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5814_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11982,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.13 | c_lessequals(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),X0) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_719]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11983,plain,
% 5.87/6.13 ( c_lessequals(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),X0)
% 5.87/6.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.87/6.13 inference(rewriting,[status(thm)],[c_11982]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_688,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.13 | 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)
% 5.87/6.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5809_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11920,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.13 | 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)
% 5.87/6.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_688]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_685,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.13 | 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)
% 5.87/6.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5808_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11914,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.13 | 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)
% 5.87/6.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_685]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_613,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),c_HOL_Ominus__class_Ominus(X2,X1,X0))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 5.87/6.13 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5796_1) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11770,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),c_HOL_Ominus__class_Ominus(X2,X1,X0))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 5.87/6.13 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_613]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_612,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),c_HOL_Ominus__class_Ominus(X2,X1,X0))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 5.87/6.13 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5796_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11768,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),c_HOL_Ominus__class_Ominus(X2,X1,X0))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 5.87/6.13 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_612]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_609,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2))
% 5.87/6.13 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5795_1) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11762,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2))
% 5.87/6.13 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_609]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_608,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2))
% 5.87/6.13 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5795_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11760,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 5.87/6.13 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2))
% 5.87/6.13 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_608]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_604,plain,
% 5.87/6.13 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.13 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)),c_Divides_Odiv__class_Omod(X1,X2,X0)) = X1 ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5793_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11752,plain,
% 5.87/6.13 ( ~ class_Divides_Osemiring__div(X0)
% 5.87/6.13 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)),c_Divides_Odiv__class_Omod(X1,X2,X0)) = X1 ),
% 5.87/6.13 inference(copy,[status(esa)],[c_604]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_602,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.13 | ~ 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) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5792_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11748,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.13 | ~ 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) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_602]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11749,plain,
% 5.87/6.13 ( ~ 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)
% 5.87/6.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.87/6.13 inference(rewriting,[status(thm)],[c_11748]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_593,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.13 | 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))
% 5.87/6.13 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5789_1) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11730,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.13 | 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))
% 5.87/6.13 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_593]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_592,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.13 | 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))
% 5.87/6.13 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.13 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5789_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11728,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.13 | 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))
% 5.87/6.13 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.13 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_592]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_590,plain,
% 5.87/6.13 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.87/6.13 | 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))) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5788_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11724,plain,
% 5.87/6.13 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.87/6.13 | 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))) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_590]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_588,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.13 | c_lessequals(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) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5787_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11720,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.13 | c_lessequals(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) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_588]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11721,plain,
% 5.87/6.13 ( c_lessequals(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)
% 5.87/6.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 5.87/6.13 inference(rewriting,[status(thm)],[c_11720]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_580,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.13 | 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))) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5784_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11704,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.87/6.13 | 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))) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_580]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_578,plain,
% 5.87/6.13 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 5.87/6.13 | 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)) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5783_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11700,plain,
% 5.87/6.13 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 5.87/6.13 | 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)) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_578]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_576,plain,
% 5.87/6.13 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),c_Fact_Ofact__class_Ofact(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1),tc_nat)) = c_Fact_Ofact__class_Ofact(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 5.87/6.13 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5782_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11696,plain,
% 5.87/6.13 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),c_Fact_Ofact__class_Ofact(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1),tc_nat)) = c_Fact_Ofact__class_Ofact(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 5.87/6.13 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_576]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_573,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.13 | 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) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5781_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11690,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.13 | 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) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_573]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11691,plain,
% 5.87/6.13 ( 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)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.87/6.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 5.87/6.13 inference(rewriting,[status(thm)],[c_11690]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_570,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.13 | 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)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2))
% 5.87/6.13 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5780_1) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11684,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.13 | 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)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2))
% 5.87/6.13 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_570]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_569,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.13 | 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)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2))
% 5.87/6.13 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5780_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11682,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Ofield(X0)
% 5.87/6.13 | 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)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2))
% 5.87/6.13 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.87/6.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_569]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_567,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.13 | c_lessequals(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),X0) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5779_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11678,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.87/6.13 | c_lessequals(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),X0) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_567]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11679,plain,
% 5.87/6.13 ( c_lessequals(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),X0)
% 5.87/6.13 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 5.87/6.13 inference(rewriting,[status(thm)],[c_11678]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_565,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.13 | ~ 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) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5778_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11674,plain,
% 5.87/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.87/6.13 | ~ 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) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_565]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11675,plain,
% 5.87/6.13 ( ~ 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)
% 5.87/6.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.87/6.13 inference(rewriting,[status(thm)],[c_11674]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_563,plain,
% 5.87/6.13 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.87/6.13 | 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)) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5777_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11670,plain,
% 5.87/6.13 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.87/6.13 | 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)) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_563]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_560,plain,
% 5.87/6.13 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.87/6.13 | 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) ),
% 5.87/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5776_0) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11664,plain,
% 5.87/6.13 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.87/6.13 | 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) ),
% 5.87/6.13 inference(copy,[status(esa)],[c_560]) ).
% 5.87/6.13
% 5.87/6.13 cnf(c_11665,plain,
% 5.87/6.13 ( 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)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.87/6.13 | ~ c_HOL_Oord__class_Oless(X3,X0,tc_nat) ),
% 5.87/6.14 inference(rewriting,[status(thm)],[c_11664]) ).
% 5.87/6.14
% 5.87/6.14 cnf(c_558,plain,
% 5.87/6.14 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 5.87/6.14 | 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)) ),
% 5.87/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5775_0) ).
% 5.87/6.14
% 5.87/6.14 cnf(c_11660,plain,
% 5.87/6.14 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 5.87/6.14 | 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)) ),
% 5.87/6.14 inference(copy,[status(esa)],[c_558]) ).
% 5.87/6.14
% 5.87/6.14 cnf(c_556,plain,
% 5.87/6.14 ( hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ominus__class_Ominus(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),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat))) = 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)
% 5.87/6.14 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5774_0) ).
% 5.87/6.14
% 5.87/6.14 cnf(c_11656,plain,
% 5.87/6.14 ( hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ominus__class_Ominus(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),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat))) = 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)
% 5.87/6.14 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.87/6.14 inference(copy,[status(esa)],[c_556]) ).
% 5.87/6.14
% 5.87/6.14 cnf(c_554,plain,
% 5.87/6.14 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 5.87/6.14 | 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)) ),
% 5.87/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5773_0) ).
% 5.87/6.14
% 5.87/6.14 cnf(c_11652,plain,
% 6.00/6.14 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_554]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_552,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Osemiring(X0)
% 6.00/6.14 | 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) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5772_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11648,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Osemiring(X0)
% 6.00/6.14 | 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) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_552]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_544,plain,
% 6.00/6.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5769_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11632,plain,
% 6.00/6.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_544]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_542,plain,
% 6.00/6.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5768_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11628,plain,
% 6.00/6.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_542]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_539,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Oring(X0)
% 6.00/6.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5)
% 6.00/6.14 | X3 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5767_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11622,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Oring(X0)
% 6.00/6.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5)
% 6.00/6.14 | X3 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_539]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_536,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Oring(X0)
% 6.00/6.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5)
% 6.00/6.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X4,X0)),X2)),X3) = X5 ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5766_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11616,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Oring(X0)
% 6.00/6.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5)
% 6.00/6.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X4,X0)),X2)),X3) = X5 ),
% 6.00/6.14 inference(copy,[status(esa)],[c_536]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11617,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Oring(X0)
% 6.00/6.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4) = X5
% 6.00/6.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5) ),
% 6.00/6.14 inference(rewriting,[status(thm)],[c_11616]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_534,plain,
% 6.00/6.14 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5765_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11612,plain,
% 6.00/6.14 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_534]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_532,plain,
% 6.00/6.14 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5764_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11608,plain,
% 6.00/6.14 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_532]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_530,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 6.00/6.14 | ~ 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) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5763_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11604,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 6.00/6.14 | ~ 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) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_530]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11605,plain,
% 6.00/6.14 ( ~ 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)
% 6.00/6.14 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 6.00/6.14 inference(rewriting,[status(thm)],[c_11604]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_522,plain,
% 6.00/6.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5760_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11588,plain,
% 6.00/6.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_522]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_516,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 6.00/6.14 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),c_HOL_Ominus__class_Ominus(X1,X2,X0))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2))) = c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 6.00/6.14 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.14 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5758_1) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11576,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 6.00/6.14 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),c_HOL_Ominus__class_Ominus(X1,X2,X0))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2))) = c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 6.00/6.14 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.14 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_516]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_515,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 6.00/6.14 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),c_HOL_Ominus__class_Ominus(X1,X2,X0))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2))) = c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 6.00/6.14 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.14 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5758_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11574,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 6.00/6.14 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),c_HOL_Ominus__class_Ominus(X1,X2,X0))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2))) = c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 6.00/6.14 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.14 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_515]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_513,plain,
% 6.00/6.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5757_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11570,plain,
% 6.00/6.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_513]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_511,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 6.00/6.14 | ~ 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) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5756_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11566,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 6.00/6.14 | ~ 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) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_511]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11567,plain,
% 6.00/6.14 ( ~ 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)
% 6.00/6.14 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 6.00/6.14 inference(rewriting,[status(thm)],[c_11566]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_509,plain,
% 6.00/6.14 ( hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat)),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat))) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat)),X0)
% 6.00/6.14 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5755_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11562,plain,
% 6.00/6.14 ( hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat)),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat))) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat)),X0)
% 6.00/6.14 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_509]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_507,plain,
% 6.00/6.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.00/6.14 | 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) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5754_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11558,plain,
% 6.00/6.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.00/6.14 | 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) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_507]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_504,plain,
% 6.00/6.14 ( ~ class_RealVector_Ometric__space(X0)
% 6.00/6.14 | ~ c_SEQ_OLIMSEQ(X1,X2,X0)
% 6.00/6.14 | c_SEQ_OLIMSEQ(c_COMBB(X1,c_Suc,tc_nat,X0,tc_nat),X2,X0) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5753_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11552,plain,
% 6.00/6.14 ( ~ class_RealVector_Ometric__space(X0)
% 6.00/6.14 | ~ c_SEQ_OLIMSEQ(X1,X2,X0)
% 6.00/6.14 | c_SEQ_OLIMSEQ(c_COMBB(X1,c_Suc,tc_nat,X0,tc_nat),X2,X0) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_504]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11553,plain,
% 6.00/6.14 ( c_SEQ_OLIMSEQ(c_COMBB(X0,c_Suc,tc_nat,X1,tc_nat),X2,X1)
% 6.00/6.14 | ~ c_SEQ_OLIMSEQ(X0,X2,X1)
% 6.00/6.14 | ~ class_RealVector_Ometric__space(X1) ),
% 6.00/6.14 inference(rewriting,[status(thm)],[c_11552]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_501,plain,
% 6.00/6.14 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 6.00/6.14 | ~ c_SEQ_OLIMSEQ(X1,X2,X0)
% 6.00/6.14 | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X0),X1,X0,X0,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5752_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11546,plain,
% 6.00/6.14 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 6.00/6.14 | ~ c_SEQ_OLIMSEQ(X1,X2,X0)
% 6.00/6.14 | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X0),X1,X0,X0,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_501]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11547,plain,
% 6.00/6.14 ( c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X0),X1,X0,X0,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 6.00/6.14 | ~ c_SEQ_OLIMSEQ(X1,X2,X0)
% 6.00/6.14 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 6.00/6.14 inference(rewriting,[status(thm)],[c_11546]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_493,plain,
% 6.00/6.14 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.00/6.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),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),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5749_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11530,plain,
% 6.00/6.14 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.00/6.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),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),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_493]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_490,plain,
% 6.00/6.14 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 6.00/6.14 | ~ c_SEQ_OLIMSEQ(X1,X2,X0)
% 6.00/6.14 | c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1,X0,X0,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5748_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11524,plain,
% 6.00/6.14 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 6.00/6.14 | ~ c_SEQ_OLIMSEQ(X1,X2,X0)
% 6.00/6.14 | c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1,X0,X0,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_490]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11525,plain,
% 6.00/6.14 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 6.00/6.14 | c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2,X0,X0,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.14 | ~ c_SEQ_OLIMSEQ(X2,X3,X0) ),
% 6.00/6.14 inference(rewriting,[status(thm)],[c_11524]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_486,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Oring(X0)
% 6.00/6.14 | 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),c_HOL_Ominus__class_Ominus(X3,X1,X0)),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5746_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11516,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Oring(X0)
% 6.00/6.14 | 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),c_HOL_Ominus__class_Ominus(X3,X1,X0)),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_486]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_484,plain,
% 6.00/6.14 ( ~ class_Int_Onumber__ring(X0)
% 6.00/6.14 | c_HOL_Ominus__class_Ominus(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),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5745_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11512,plain,
% 6.00/6.14 ( ~ class_Int_Onumber__ring(X0)
% 6.00/6.14 | c_HOL_Ominus__class_Ominus(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),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_484]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_482,plain,
% 6.00/6.14 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.00/6.14 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X4),tc_nat) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5744_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11508,plain,
% 6.00/6.14 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.00/6.14 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X4),tc_nat) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_482]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_480,plain,
% 6.00/6.14 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.00/6.14 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3),X4,tc_nat) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5743_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11504,plain,
% 6.00/6.14 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.00/6.14 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3),X4,tc_nat) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_480]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_478,plain,
% 6.00/6.14 ( ~ class_Divides_Osemiring__div(X0)
% 6.00/6.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0))),c_Divides_Odiv__class_Omod(X2,X1,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5742_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11500,plain,
% 6.00/6.14 ( ~ class_Divides_Osemiring__div(X0)
% 6.00/6.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0))),c_Divides_Odiv__class_Omod(X2,X1,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_478]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_468,plain,
% 6.00/6.14 ( ~ class_RealVector_Oreal__field(X0)
% 6.00/6.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X5,X0),X4,X0)),X3)) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X5),X3),X0),X4,X0) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5739_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11480,plain,
% 6.00/6.14 ( ~ class_RealVector_Oreal__field(X0)
% 6.00/6.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X5,X0),X4,X0)),X3)) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X5),X3),X0),X4,X0) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_468]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_466,plain,
% 6.00/6.14 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 6.00/6.14 | 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))) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5738_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11476,plain,
% 6.00/6.14 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 6.00/6.14 | 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))) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_466]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_463,plain,
% 6.00/6.14 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 6.00/6.14 | ~ c_lessequals(X0,X3,tc_nat)
% 6.00/6.14 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5737_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11470,plain,
% 6.00/6.14 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 6.00/6.14 | ~ c_lessequals(X0,X3,tc_nat)
% 6.00/6.14 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_463]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11471,plain,
% 6.00/6.14 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 6.00/6.14 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat)
% 6.00/6.14 | ~ c_lessequals(X0,X3,tc_nat) ),
% 6.00/6.14 inference(rewriting,[status(thm)],[c_11470]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_448,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.00/6.14 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 6.00/6.14 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5732_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11440,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.00/6.14 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 6.00/6.14 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_448]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_445,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.00/6.14 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 6.00/6.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X4,X0)),X2)),X3),X5,X0) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5731_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11434,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.00/6.14 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 6.00/6.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X4,X0)),X2)),X3),X5,X0) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_445]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11435,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.00/6.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 6.00/6.14 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0) ),
% 6.00/6.14 inference(rewriting,[status(thm)],[c_11434]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_442,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.00/6.14 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 6.00/6.14 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X4,X0)),X2)),X3),X5,X0) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5730_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11428,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.00/6.14 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 6.00/6.14 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X4,X0)),X2)),X3),X5,X0) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_442]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11429,plain,
% 6.00/6.14 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 6.00/6.14 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0)
% 6.00/6.14 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 6.00/6.14 inference(rewriting,[status(thm)],[c_11428]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_434,plain,
% 6.00/6.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.00/6.14 | 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))) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5727_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11412,plain,
% 6.00/6.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.00/6.14 | 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))) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_434]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_431,plain,
% 6.00/6.14 ( ~ class_RealVector_Oreal__normed__field(X0)
% 6.00/6.14 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2))) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0),X3,X0)
% 6.00/6.14 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.14 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5726_1) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11406,plain,
% 6.00/6.14 ( ~ class_RealVector_Oreal__normed__field(X0)
% 6.00/6.14 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2))) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0),X3,X0)
% 6.00/6.14 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.14 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_431]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_430,plain,
% 6.00/6.14 ( ~ class_RealVector_Oreal__normed__field(X0)
% 6.00/6.14 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2))) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0),X3,X0)
% 6.00/6.14 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.14 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5726_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11404,plain,
% 6.00/6.14 ( ~ class_RealVector_Oreal__normed__field(X0)
% 6.00/6.14 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2))) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0),X3,X0)
% 6.00/6.14 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.14 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_430]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_428,plain,
% 6.00/6.14 ( ~ class_Int_Onumber__ring(X0)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5725_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11400,plain,
% 6.00/6.14 ( ~ class_Int_Onumber__ring(X0)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_428]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_422,plain,
% 6.00/6.14 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 6.00/6.14 | ~ c_lessequals(X1,X0,tc_nat)
% 6.00/6.14 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5723_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11388,plain,
% 6.00/6.14 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 6.00/6.14 | ~ c_lessequals(X1,X0,tc_nat)
% 6.00/6.14 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_422]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11389,plain,
% 6.00/6.14 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 6.00/6.14 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat)
% 6.00/6.14 | ~ c_lessequals(X1,X0,tc_nat) ),
% 6.00/6.14 inference(rewriting,[status(thm)],[c_11388]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_413,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.00/6.14 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X2,X3,X0)),X4)),X5),X0)
% 6.00/6.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4)),X5),X0) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5720_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11370,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.00/6.14 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X2,X3,X0)),X4)),X5),X0)
% 6.00/6.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4)),X5),X0) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_413]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11371,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.00/6.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 6.00/6.14 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0) ),
% 6.00/6.14 inference(rewriting,[status(thm)],[c_11370]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_410,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.00/6.14 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 6.00/6.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5719_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11364,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.00/6.14 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 6.00/6.14 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_410]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_404,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.00/6.14 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X2,X3,X0)),X4)),X5),X0)
% 6.00/6.14 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4)),X5),X0) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5717_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11352,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.00/6.14 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X2,X3,X0)),X4)),X5),X0)
% 6.00/6.14 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4)),X5),X0) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_404]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11353,plain,
% 6.00/6.14 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 6.00/6.14 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0)
% 6.00/6.14 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 6.00/6.14 inference(rewriting,[status(thm)],[c_11352]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_402,plain,
% 6.00/6.14 ( ~ class_Divides_Osemiring__div(X0)
% 6.00/6.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)),c_Divides_Odiv__class_Omod(X1,X2,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5716_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11348,plain,
% 6.00/6.14 ( ~ class_Divides_Osemiring__div(X0)
% 6.00/6.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)),c_Divides_Odiv__class_Omod(X1,X2,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_402]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_400,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.00/6.14 | 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) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5715_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11344,plain,
% 6.00/6.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.00/6.14 | 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) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_400]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11345,plain,
% 6.00/6.14 ( 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)
% 6.00/6.14 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 6.00/6.14 inference(rewriting,[status(thm)],[c_11344]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_398,plain,
% 6.00/6.14 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 6.00/6.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),c_HOL_Ominus__class_Ominus(X3,X4,X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X4))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_HOL_Ominus__class_Ominus(X3,X4,X0))) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4),X0) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5714_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11340,plain,
% 6.00/6.14 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 6.00/6.14 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),c_HOL_Ominus__class_Ominus(X3,X4,X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X4))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_HOL_Ominus__class_Ominus(X3,X4,X0))) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4),X0) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_398]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_390,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X1,X6),X4) = X6 ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5710_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11324,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X1,X6),X4) = X6 ),
% 6.00/6.14 inference(copy,[status(esa)],[c_390]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_388,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X1,X4),X6) = X6 ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5709_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11320,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X1,X4),X6) = X6 ),
% 6.00/6.14 inference(copy,[status(esa)],[c_388]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_386,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X1,X6),X3) = X3 ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5708_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11316,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X1,X6),X3) = X3 ),
% 6.00/6.14 inference(copy,[status(esa)],[c_386]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_384,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X1,X3),X6) = X3 ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5707_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11312,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X1,X3),X6) = X3 ),
% 6.00/6.14 inference(copy,[status(esa)],[c_384]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_382,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X0,X6),X3) = X6 ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5706_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11308,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X0,X6),X3) = X6 ),
% 6.00/6.14 inference(copy,[status(esa)],[c_382]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_380,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X0,X3),X6) = X6 ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5705_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11304,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X0,X3),X6) = X6 ),
% 6.00/6.14 inference(copy,[status(esa)],[c_380]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_378,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X2,X6),c_HOL_Oone__class_Oone(tc_nat)) = X6 ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5704_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11300,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X2,X6),c_HOL_Oone__class_Oone(tc_nat)) = X6 ),
% 6.00/6.14 inference(copy,[status(esa)],[c_378]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_376,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X2,X6),c_HOL_Ozero__class_Ozero(tc_nat)) = X4 ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5703_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11296,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X2,X6),c_HOL_Ozero__class_Ozero(tc_nat)) = X4 ),
% 6.00/6.14 inference(copy,[status(esa)],[c_376]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_370,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X0,X6),X7) = hAPP(hAPP(X0,X7),X6) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5700_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11284,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X0,X6),X7) = hAPP(hAPP(X0,X7),X6) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_370]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_368,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X1,X6),X7) = hAPP(hAPP(X1,X7),X6) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5699_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11280,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X1,X6),X7) = hAPP(hAPP(X1,X7),X6) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_368]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_366,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5698_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11276,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_366]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_360,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X1,X6),hAPP(hAPP(X2,X6),X7)) = hAPP(hAPP(X2,X6),hAPP(c_Suc,X7)) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5695_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11264,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X1,X6),hAPP(hAPP(X2,X6),X7)) = hAPP(hAPP(X2,X6),hAPP(c_Suc,X7)) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_360]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_358,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) = hAPP(hAPP(X0,X7),hAPP(hAPP(X0,X6),X8)) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5694_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11260,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) = hAPP(hAPP(X0,X7),hAPP(hAPP(X0,X6),X8)) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_358]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_356,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) = hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X6),X8)) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5693_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11256,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) = hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X6),X8)) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_356]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_354,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X0,X6),X6) = hAPP(hAPP(X1,hAPP(hAPP(X0,X4),X4)),X6) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5692_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11252,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X0,X6),X6) = hAPP(hAPP(X1,hAPP(hAPP(X0,X4),X4)),X6) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_354]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_352,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),X6) = hAPP(hAPP(X2,X6),hAPP(c_Suc,X7)) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5691_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11248,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),X6) = hAPP(hAPP(X2,X6),hAPP(c_Suc,X7)) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_352]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_344,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5687_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11232,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_344]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_340,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5685_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11224,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_340]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_338,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X0,X6),hAPP(hAPP(X1,X7),X6)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X7),X4)),X6) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5684_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11220,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X0,X6),hAPP(hAPP(X1,X7),X6)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X7),X4)),X6) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_338]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_336,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X2,hAPP(hAPP(X2,X6),X7)),X8) = hAPP(hAPP(X2,X6),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X7),X8)) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5683_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11216,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X2,hAPP(hAPP(X2,X6),X7)),X8) = hAPP(hAPP(X2,X6),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X7),X8)) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_336]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_334,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X6),X8)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X0,X7),X8)) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5682_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11212,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X6),X8)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X0,X7),X8)) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_334]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_332,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),X7) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5681_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11208,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),X7) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_332]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_330,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),X7) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5680_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11204,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),X7) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_330]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_328,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),X7) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X4)),X7) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5679_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11200,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),X7) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X4)),X7) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_328]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_326,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5678_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11196,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_326]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_324,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X8),X7)) = hAPP(hAPP(X2,hAPP(hAPP(X1,X6),X8)),X7) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5677_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11192,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X8),X7)) = hAPP(hAPP(X2,hAPP(hAPP(X1,X6),X8)),X7) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_324]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_320,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X7)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X8)),X7) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5675_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11184,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X7)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X8)),X7) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_320]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_318,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5674_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11180,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_318]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_316,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | 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))) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5673_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11176,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | 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))) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_316]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_314,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5672_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11172,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_314]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_312,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5671_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11168,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_312]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_310,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5670_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11164,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_310]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_308,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | 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))) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5669_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11160,plain,
% 6.00/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.00/6.14 | 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))) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_308]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_306,plain,
% 6.00/6.14 ( ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X2,X3,X4,X5,X6)
% 6.00/6.14 | 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 ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5668_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11156,plain,
% 6.00/6.14 ( ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X2,X3,X4,X5,X6)
% 6.00/6.14 | 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 ),
% 6.00/6.14 inference(copy,[status(esa)],[c_306]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_304,plain,
% 6.00/6.14 ( ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X2,X3,X4,X5,X6)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5667_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11152,plain,
% 6.00/6.14 ( ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X2,X3,X4,X5,X6)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_304]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_302,plain,
% 6.00/6.14 ( ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X2,X3,X4,X5,X6)
% 6.00/6.14 | 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) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5666_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11148,plain,
% 6.00/6.14 ( ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X2,X3,X4,X5,X6)
% 6.00/6.14 | 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) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_302]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_300,plain,
% 6.00/6.14 ( ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X2,X3,X4,X5,X6)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5665_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11144,plain,
% 6.00/6.14 ( ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X2,X3,X4,X5,X6)
% 6.00/6.14 | 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)) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_300]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_298,plain,
% 6.00/6.14 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.14 | hAPP(X9,X2) = X2 ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5664_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11140,plain,
% 6.00/6.14 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.14 | hAPP(X9,X2) = X2 ),
% 6.00/6.14 inference(copy,[status(esa)],[c_298]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_296,plain,
% 6.00/6.14 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.14 | hAPP(X9,hAPP(X9,X11)) = hAPP(X9,X11) ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5663_0) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_11136,plain,
% 6.00/6.14 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.14 | hAPP(X9,hAPP(X9,X11)) = hAPP(X9,X11) ),
% 6.00/6.14 inference(copy,[status(esa)],[c_296]) ).
% 6.00/6.14
% 6.00/6.14 cnf(c_294,plain,
% 6.00/6.14 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,hAPP(X2,X3),X4,X5,X6,X7,X8,X9,X2,X10)
% 6.00/6.14 | hAPP(X2,X3) = X3 ),
% 6.00/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5662_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_11132,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,hAPP(X2,X3),X4,X5,X6,X7,X8,X9,X2,X10)
% 6.00/6.15 | hAPP(X2,X3) = X3 ),
% 6.00/6.15 inference(copy,[status(esa)],[c_294]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_292,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hAPP(X6,X11) = hAPP(hAPP(X8,X11),hAPP(X9,X11)) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5661_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_11128,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hAPP(X6,X11) = hAPP(hAPP(X8,X11),hAPP(X9,X11)) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_292]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_290,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hAPP(hAPP(X8,hAPP(X9,X11)),hAPP(X6,X11)) = X11 ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5660_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_11124,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hAPP(hAPP(X8,hAPP(X9,X11)),hAPP(X6,X11)) = X11 ),
% 6.00/6.15 inference(copy,[status(esa)],[c_290]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_288,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,hAPP(X7,X8),X9,X7,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X2),X8)) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5659_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_11120,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,hAPP(X7,X8),X9,X7,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X2),X8)) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_288]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_277,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hAPP(hAPP(X8,hAPP(X6,X11)),hAPP(X6,X11)) = hAPP(hAPP(X8,X11),X11) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5655_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_11098,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hAPP(hAPP(X8,hAPP(X6,X11)),hAPP(X6,X11)) = hAPP(hAPP(X8,X11),X11) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_277]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_273,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X11),X12))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X12),X11))
% 6.00/6.15 | X12 = X11 ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5654_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_11090,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X11),X12))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X12),X11))
% 6.00/6.15 | X12 = X11 ),
% 6.00/6.15 inference(copy,[status(esa)],[c_273]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_271,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hAPP(hAPP(X8,hAPP(X6,X11)),hAPP(X6,X12)) = hAPP(X6,hAPP(hAPP(X8,X11),X12)) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5653_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_11086,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hAPP(hAPP(X8,hAPP(X6,X11)),hAPP(X6,X12)) = hAPP(X6,hAPP(hAPP(X8,X11),X12)) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_271]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_269,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hAPP(hAPP(X8,hAPP(X9,X11)),hAPP(X9,X12)) = hAPP(X9,hAPP(hAPP(X8,X11),X12)) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5652_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_11082,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hAPP(hAPP(X8,hAPP(X9,X11)),hAPP(X9,X12)) = hAPP(X9,hAPP(hAPP(X8,X11),X12)) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_269]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_261,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | 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 ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5649_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_11066,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | 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 ),
% 6.00/6.15 inference(copy,[status(esa)],[c_261]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_252,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X2),X11))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X11),X2)) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5646_1) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_11048,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X2),X11))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X11),X2)) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_252]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_251,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5646_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_11046,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_251]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_248,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X2),X11))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X11),X2)) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5645_1) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_11040,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X2),X11))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X11),X2)) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_248]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_247,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5645_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_11038,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_247]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_244,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X2),X11))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5644_1) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_11032,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X2),X11))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_244]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_243,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5644_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_11030,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_243]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_240,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X2),X11))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5643_1) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_11024,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X2),X11))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_240]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_239,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5643_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_11022,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_239]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_188,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X2),X12))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X12),X2)) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5630_1) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10920,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X2),X12))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X12),X2)) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_188]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_187,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X12),X2))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X2),X12)) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5630_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10918,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X12),X2))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X2),X12)) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_187]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_184,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X2),X11))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X11),X2)) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5629_1) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10912,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X2),X11))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X11),X2)) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_184]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_183,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5629_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10910,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_183]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_180,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X2),X12))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X12),X2)) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5628_1) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10904,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X2),X12))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X12),X2)) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_180]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_179,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X12),X2))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X2),X12)) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5628_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10902,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X12),X2))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X2),X12)) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_179]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_176,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X2),X11))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5627_1) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10896,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X2),X11))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X11),X2)) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_176]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_175,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5627_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10894,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_175]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_97,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | 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)) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5607_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10738,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | 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)) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_97]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_91,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | 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)) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5605_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10726,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | 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)) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_91]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_57,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | 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)) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5596_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10658,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | 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)) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_57]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_55,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | 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)) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5595_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10654,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | 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)) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_55]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_53,plain,
% 6.00/6.15 ( ~ 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)
% 6.00/6.15 | 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 ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5594_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10650,plain,
% 6.00/6.15 ( ~ 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)
% 6.00/6.15 | 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 ),
% 6.00/6.15 inference(copy,[status(esa)],[c_53]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_51,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | 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)))) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5593_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10646,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | 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)))) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_51]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_48,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | 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))))
% 6.00/6.15 | X11 = X2 ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5592_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10640,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | 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))))
% 6.00/6.15 | X11 = X2 ),
% 6.00/6.15 inference(copy,[status(esa)],[c_48]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_46,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X2),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),hAPP(X6,X11)),X12))) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5591_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10636,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X4,X2),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),hAPP(X6,X11)),X12))) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_46]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_43,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X2),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),hAPP(X6,X11)),X12)))
% 6.00/6.15 | X11 = X2 ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5590_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10630,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X2),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),hAPP(X6,X11)),X12)))
% 6.00/6.15 | X11 = X2 ),
% 6.00/6.15 inference(copy,[status(esa)],[c_43]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_41,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X2),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),hAPP(X6,X11)),c_HOL_Ozero__class_Ozero(tc_nat)))) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5589_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10626,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | hBOOL(hAPP(hAPP(X5,X2),hAPP(hAPP(c_Power_Opower_Opower(X7,X8,X10),hAPP(X6,X11)),c_HOL_Ozero__class_Ozero(tc_nat)))) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_41]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_39,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | 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 ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5588_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10622,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | 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 ),
% 6.00/6.15 inference(copy,[status(esa)],[c_39]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_37,plain,
% 6.00/6.15 ( ~ 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))))
% 6.00/6.15 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X1,X7,X8,X0,X9,X2,X3,X10,X4) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5587_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10618,plain,
% 6.00/6.15 ( ~ 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))))
% 6.00/6.15 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X1,X7,X8,X0,X9,X2,X3,X10,X4) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_37]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10619,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | ~ 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)))) ),
% 6.00/6.15 inference(rewriting,[status(thm)],[c_10618]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_32,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | 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)))) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5585_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10608,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | 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)))) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_32]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_30,plain,
% 6.00/6.15 ( ~ 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))
% 6.00/6.15 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X9,X0,X10,X1,X2,X11,X3) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5584_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10604,plain,
% 6.00/6.15 ( ~ 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))
% 6.00/6.15 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X9,X0,X10,X1,X2,X11,X3) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_30]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10605,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | ~ 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)) ),
% 6.00/6.15 inference(rewriting,[status(thm)],[c_10604]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_22,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | 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))))) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5581_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10588,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | 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))))) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_22]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_19,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | 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)))))
% 6.00/6.15 | X11 = X2 ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5580_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10582,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | 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)))))
% 6.00/6.15 | X11 = X2 ),
% 6.00/6.15 inference(copy,[status(esa)],[c_19]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_16,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | 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)))))
% 6.00/6.15 | X12 = X2 ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5579_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10576,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | 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)))))
% 6.00/6.15 | X12 = X2 ),
% 6.00/6.15 inference(copy,[status(esa)],[c_16]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_14,plain,
% 6.00/6.15 ( ~ 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)
% 6.00/6.15 | 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 ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5578_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10572,plain,
% 6.00/6.15 ( ~ 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)
% 6.00/6.15 | 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 ),
% 6.00/6.15 inference(copy,[status(esa)],[c_14]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_12,plain,
% 6.00/6.15 ( ~ 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)
% 6.00/6.15 | 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 ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5577_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10568,plain,
% 6.00/6.15 ( ~ 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)
% 6.00/6.15 | 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 ),
% 6.00/6.15 inference(copy,[status(esa)],[c_12]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10,plain,
% 6.00/6.15 ( ~ 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)))))
% 6.00/6.15 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X2,X8,X0,X9,X3,X4,X10,X5) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5576_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10564,plain,
% 6.00/6.15 ( ~ 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)))))
% 6.00/6.15 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X2,X8,X0,X9,X3,X4,X10,X5) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_10]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10565,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | ~ 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))))) ),
% 6.00/6.15 inference(rewriting,[status(thm)],[c_10564]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_8,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | 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)) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5575_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10560,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | 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)) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_8]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_6,plain,
% 6.00/6.15 ( ~ 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))
% 6.00/6.15 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X7,X1,X10,X0,X11,X2,X3,X12,X4) ),
% 6.00/6.15 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_5574_0) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10556,plain,
% 6.00/6.15 ( ~ 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))
% 6.00/6.15 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X7,X1,X10,X0,X11,X2,X3,X12,X4) ),
% 6.00/6.15 inference(copy,[status(esa)],[c_6]) ).
% 6.00/6.15
% 6.00/6.15 cnf(c_10557,plain,
% 6.00/6.15 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 6.00/6.15 | ~ 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)) ),
% 6.00/6.15 inference(rewriting,[status(thm)],[c_10556]) ).
% 6.00/6.15
% 6.00/6.15
% 6.00/6.15
% 6.00/6.15 % ------ Statistics
% 6.00/6.15
% 6.00/6.15 % ------ General
% 6.00/6.15
% 6.00/6.15 % num_of_input_clauses: 4813
% 6.00/6.15 % num_of_input_neg_conjectures: 1
% 6.00/6.15 % num_of_splits: 0
% 6.00/6.15 % num_of_split_atoms: 0
% 6.00/6.15 % num_of_sem_filtered_clauses: 0
% 6.00/6.15 % num_of_subtypes: 0
% 6.00/6.15 % monotx_restored_types: 0
% 6.00/6.15 % sat_num_of_epr_types: 0
% 6.00/6.15 % sat_num_of_non_cyclic_types: 0
% 6.00/6.15 % sat_guarded_non_collapsed_types: 0
% 6.00/6.15 % is_epr: 0
% 6.00/6.15 % is_horn: 0
% 6.00/6.15 % has_eq: 1
% 6.00/6.15 % num_pure_diseq_elim: 0
% 6.00/6.15 % simp_replaced_by: 0
% 6.00/6.15 % res_preprocessed: 2
% 6.00/6.15 % prep_upred: 0
% 6.00/6.15 % prep_unflattend: 0
% 6.00/6.15 % pred_elim_cands: 0
% 6.00/6.15 % pred_elim: 0
% 6.00/6.15 % pred_elim_cl: 0
% 6.00/6.15 % pred_elim_cycles: 0
% 6.00/6.15 % forced_gc_time: 0
% 6.00/6.15 % gc_basic_clause_elim: 0
% 6.00/6.15 % parsing_time: 0.226
% 6.00/6.15 % sem_filter_time: 0.
% 6.00/6.15 % pred_elim_time: 0.
% 6.00/6.15 % out_proof_time: 0.
% 6.00/6.15 % monotx_time: 0.
% 6.00/6.15 % subtype_inf_time: 0.
% 6.00/6.15 % unif_index_cands_time: 0.
% 6.00/6.15 % unif_index_add_time: 0.002
% 6.00/6.15 % total_time: 5.399
% 6.00/6.15 % num_of_symbols: 128
% 6.00/6.15 % num_of_terms: 10118
% 6.00/6.15
% 6.00/6.15 % ------ Propositional Solver
% 6.00/6.15
% 6.00/6.15 % prop_solver_calls: 1
% 6.00/6.15 % prop_fast_solver_calls: 3
% 6.00/6.15 % prop_num_of_clauses: 3516
% 6.00/6.15 % prop_preprocess_simplified: 15502
% 6.00/6.15 % prop_fo_subsumed: 0
% 6.00/6.15 % prop_solver_time: 0.
% 6.00/6.15 % prop_fast_solver_time: 0.
% 6.00/6.15 % prop_unsat_core_time: 0.
% 6.00/6.15
% 6.00/6.15 % ------ QBF
% 6.00/6.15
% 6.00/6.15 % qbf_q_res: 0
% 6.00/6.15 % qbf_num_tautologies: 0
% 6.00/6.15 % qbf_prep_cycles: 0
% 6.00/6.15
% 6.00/6.15 % ------ BMC1
% 6.00/6.15
% 6.00/6.15 % bmc1_current_bound: -1
% 6.00/6.15 % bmc1_last_solved_bound: -1
% 6.00/6.15 % bmc1_unsat_core_size: -1
% 6.00/6.15 % bmc1_unsat_core_parents_size: -1
% 6.00/6.15 % bmc1_merge_next_fun: 0
% 6.00/6.15 % bmc1_unsat_core_clauses_time: 0.
% 6.00/6.15
% 6.00/6.15 % ------ Instantiation
% 6.00/6.15
% 6.00/6.15 % inst_num_of_clauses: 4452
% 6.00/6.15 % inst_num_in_passive: 0
% 6.00/6.15 % inst_num_in_active: 0
% 6.00/6.15 % inst_num_in_unprocessed: 4813
% 6.00/6.15 % inst_num_of_loops: 0
% 6.00/6.15 % inst_num_of_learning_restarts: 0
% 6.00/6.15 % inst_num_moves_active_passive: 0
% 6.00/6.15 % inst_lit_activity: 0
% 6.00/6.15 % inst_lit_activity_moves: 0
% 6.00/6.15 % inst_num_tautologies: 0
% 6.00/6.15 % inst_num_prop_implied: 0
% 6.00/6.15 % inst_num_existing_simplified: 0
% 6.00/6.15 % inst_num_eq_res_simplified: 0
% 6.00/6.15 % inst_num_child_elim: 0
% 6.00/6.15 % inst_num_of_dismatching_blockings: 0
% 6.00/6.15 % inst_num_of_non_proper_insts: 0
% 6.00/6.15 % inst_num_of_duplicates: 0
% 6.00/6.15 % inst_inst_num_from_inst_to_res: 0
% 6.00/6.15 % inst_dismatching_checking_time: 0.
% 6.00/6.15
% 6.00/6.15 % ------ Resolution
% 6.00/6.15
% 6.00/6.15 % res_num_of_clauses: 5070
% 6.00/6.15 % res_num_in_passive: 0
% 6.00/6.15 % res_num_in_active: 1570
% 6.00/6.15 % res_num_of_loops: 2
% 6.00/6.15 % res_forward_subset_subsumed: 3137
% 6.00/6.15 % res_backward_subset_subsumed: 6
% 6.00/6.15 % res_forward_subsumed: 0
% 6.00/6.15 % res_backward_subsumed: 0
% 6.00/6.15 % res_forward_subsumption_resolution: 0
% 6.00/6.15 % res_backward_subsumption_resolution: 0
% 6.00/6.15 % res_clause_to_clause_subsumption: 0
% 6.00/6.15 % res_orphan_elimination: 0
% 6.00/6.15 % res_tautology_del: 0
% 6.00/6.15 % res_num_eq_res_simplified: 0
% 6.00/6.15 % res_num_sel_changes: 0
% 6.00/6.15 % res_moves_from_active_to_pass: 0
% 6.00/6.15
% 6.00/6.15 % Status Unknown
% 6.05/6.46 % Orienting using strategy ClausalAll
% 6.05/6.46 % Orientation found
% 6.05/6.46 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_07074b.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_d9adab.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_ff5e14 | grep -v "SZS"
% 6.05/6.47
% 6.05/6.47 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 6.05/6.47
% 6.05/6.47 %
% 6.05/6.47 % ------ iProver source info
% 6.05/6.47
% 6.05/6.47 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 6.05/6.47 % git: non_committed_changes: true
% 6.05/6.47 % git: last_make_outside_of_git: true
% 6.05/6.47
% 6.05/6.47 %
% 6.05/6.47 % ------ Input Options
% 6.05/6.47
% 6.05/6.47 % --out_options all
% 6.05/6.47 % --tptp_safe_out true
% 6.05/6.47 % --problem_path ""
% 6.05/6.47 % --include_path ""
% 6.05/6.47 % --clausifier .//eprover
% 6.05/6.47 % --clausifier_options --tstp-format
% 6.05/6.47 % --stdin false
% 6.05/6.47 % --dbg_backtrace false
% 6.05/6.47 % --dbg_dump_prop_clauses false
% 6.05/6.47 % --dbg_dump_prop_clauses_file -
% 6.05/6.47 % --dbg_out_stat false
% 6.05/6.47
% 6.05/6.47 % ------ General Options
% 6.05/6.47
% 6.05/6.47 % --fof false
% 6.05/6.47 % --time_out_real 150.
% 6.05/6.47 % --time_out_prep_mult 0.2
% 6.05/6.47 % --time_out_virtual -1.
% 6.05/6.47 % --schedule none
% 6.05/6.47 % --ground_splitting input
% 6.05/6.47 % --splitting_nvd 16
% 6.05/6.47 % --non_eq_to_eq false
% 6.05/6.47 % --prep_gs_sim true
% 6.05/6.47 % --prep_unflatten false
% 6.05/6.47 % --prep_res_sim true
% 6.05/6.47 % --prep_upred true
% 6.05/6.47 % --res_sim_input true
% 6.05/6.47 % --clause_weak_htbl true
% 6.05/6.47 % --gc_record_bc_elim false
% 6.05/6.47 % --symbol_type_check false
% 6.05/6.47 % --clausify_out false
% 6.05/6.47 % --large_theory_mode false
% 6.05/6.47 % --prep_sem_filter none
% 6.05/6.47 % --prep_sem_filter_out false
% 6.05/6.47 % --preprocessed_out false
% 6.05/6.47 % --sub_typing false
% 6.05/6.47 % --brand_transform false
% 6.05/6.47 % --pure_diseq_elim true
% 6.05/6.47 % --min_unsat_core false
% 6.05/6.47 % --pred_elim true
% 6.05/6.47 % --add_important_lit false
% 6.05/6.47 % --soft_assumptions false
% 6.05/6.47 % --reset_solvers false
% 6.05/6.47 % --bc_imp_inh []
% 6.05/6.47 % --conj_cone_tolerance 1.5
% 6.05/6.47 % --prolific_symb_bound 500
% 6.05/6.47 % --lt_threshold 2000
% 6.05/6.47
% 6.05/6.47 % ------ SAT Options
% 6.05/6.47
% 6.05/6.47 % --sat_mode false
% 6.05/6.47 % --sat_fm_restart_options ""
% 6.05/6.47 % --sat_gr_def false
% 6.05/6.47 % --sat_epr_types true
% 6.05/6.47 % --sat_non_cyclic_types false
% 6.05/6.47 % --sat_finite_models false
% 6.05/6.47 % --sat_fm_lemmas false
% 6.05/6.47 % --sat_fm_prep false
% 6.05/6.47 % --sat_fm_uc_incr true
% 6.05/6.47 % --sat_out_model small
% 6.05/6.47 % --sat_out_clauses false
% 6.05/6.47
% 6.05/6.47 % ------ QBF Options
% 6.05/6.47
% 6.05/6.47 % --qbf_mode false
% 6.05/6.47 % --qbf_elim_univ true
% 6.05/6.47 % --qbf_sk_in true
% 6.05/6.47 % --qbf_pred_elim true
% 6.05/6.47 % --qbf_split 32
% 6.05/6.47
% 6.05/6.47 % ------ BMC1 Options
% 6.05/6.47
% 6.05/6.47 % --bmc1_incremental false
% 6.05/6.47 % --bmc1_axioms reachable_all
% 6.05/6.47 % --bmc1_min_bound 0
% 6.05/6.47 % --bmc1_max_bound -1
% 6.05/6.47 % --bmc1_max_bound_default -1
% 6.05/6.47 % --bmc1_symbol_reachability true
% 6.05/6.47 % --bmc1_property_lemmas false
% 6.05/6.47 % --bmc1_k_induction false
% 6.05/6.47 % --bmc1_non_equiv_states false
% 6.05/6.47 % --bmc1_deadlock false
% 6.05/6.47 % --bmc1_ucm false
% 6.05/6.47 % --bmc1_add_unsat_core none
% 6.05/6.47 % --bmc1_unsat_core_children false
% 6.05/6.47 % --bmc1_unsat_core_extrapolate_axioms false
% 6.05/6.47 % --bmc1_out_stat full
% 6.05/6.47 % --bmc1_ground_init false
% 6.05/6.47 % --bmc1_pre_inst_next_state false
% 6.05/6.47 % --bmc1_pre_inst_state false
% 6.05/6.47 % --bmc1_pre_inst_reach_state false
% 6.05/6.47 % --bmc1_out_unsat_core false
% 6.05/6.47 % --bmc1_aig_witness_out false
% 6.05/6.47 % --bmc1_verbose false
% 6.05/6.47 % --bmc1_dump_clauses_tptp false
% 11.75/11.93 % --bmc1_dump_unsat_core_tptp false
% 11.75/11.93 % --bmc1_dump_file -
% 11.75/11.93 % --bmc1_ucm_expand_uc_limit 128
% 11.75/11.93 % --bmc1_ucm_n_expand_iterations 6
% 11.75/11.93 % --bmc1_ucm_extend_mode 1
% 11.75/11.93 % --bmc1_ucm_init_mode 2
% 11.75/11.93 % --bmc1_ucm_cone_mode none
% 11.75/11.93 % --bmc1_ucm_reduced_relation_type 0
% 11.75/11.93 % --bmc1_ucm_relax_model 4
% 11.75/11.93 % --bmc1_ucm_full_tr_after_sat true
% 11.75/11.93 % --bmc1_ucm_expand_neg_assumptions false
% 11.75/11.93 % --bmc1_ucm_layered_model none
% 11.75/11.93 % --bmc1_ucm_max_lemma_size 10
% 11.75/11.93
% 11.75/11.93 % ------ AIG Options
% 11.75/11.93
% 11.75/11.93 % --aig_mode false
% 11.75/11.93
% 11.75/11.93 % ------ Instantiation Options
% 11.75/11.93
% 11.75/11.93 % --instantiation_flag true
% 11.75/11.93 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 11.75/11.93 % --inst_solver_per_active 750
% 11.75/11.93 % --inst_solver_calls_frac 0.5
% 11.75/11.93 % --inst_passive_queue_type priority_queues
% 11.75/11.93 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 11.75/11.93 % --inst_passive_queues_freq [25;2]
% 11.75/11.93 % --inst_dismatching true
% 11.75/11.93 % --inst_eager_unprocessed_to_passive true
% 11.75/11.93 % --inst_prop_sim_given true
% 11.75/11.93 % --inst_prop_sim_new false
% 11.75/11.93 % --inst_orphan_elimination true
% 11.75/11.93 % --inst_learning_loop_flag true
% 11.75/11.93 % --inst_learning_start 3000
% 11.75/11.93 % --inst_learning_factor 2
% 11.75/11.93 % --inst_start_prop_sim_after_learn 3
% 11.75/11.93 % --inst_sel_renew solver
% 11.75/11.93 % --inst_lit_activity_flag true
% 11.75/11.93 % --inst_out_proof true
% 11.75/11.93
% 11.75/11.93 % ------ Resolution Options
% 11.75/11.93
% 11.75/11.93 % --resolution_flag true
% 11.75/11.93 % --res_lit_sel kbo_max
% 11.75/11.93 % --res_to_prop_solver none
% 11.75/11.93 % --res_prop_simpl_new false
% 11.75/11.93 % --res_prop_simpl_given false
% 11.75/11.93 % --res_passive_queue_type priority_queues
% 11.75/11.93 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 11.75/11.93 % --res_passive_queues_freq [15;5]
% 11.75/11.93 % --res_forward_subs full
% 11.75/11.93 % --res_backward_subs full
% 11.75/11.93 % --res_forward_subs_resolution true
% 11.75/11.93 % --res_backward_subs_resolution true
% 11.75/11.93 % --res_orphan_elimination false
% 11.75/11.93 % --res_time_limit 1000.
% 11.75/11.93 % --res_out_proof true
% 11.75/11.93 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_07074b.s
% 11.75/11.93 % --modulo true
% 11.75/11.93
% 11.75/11.93 % ------ Combination Options
% 11.75/11.93
% 11.75/11.93 % --comb_res_mult 1000
% 11.75/11.93 % --comb_inst_mult 300
% 11.75/11.93 % ------
% 11.75/11.93
% 11.75/11.93 % ------ Parsing...% successful
% 11.75/11.93
% 11.75/11.93 % ------ 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 %
% 11.75/11.93
% 11.75/11.93 % ------ Proving...
% 11.75/11.93 % ------ Problem Properties
% 11.75/11.93
% 11.75/11.93 %
% 11.75/11.93 % EPR false
% 11.75/11.93 % Horn false
% 11.75/11.93 % Has equality true
% 11.75/11.93
% 11.75/11.93 % % ------ Input Options Time Limit: Unbounded
% 11.75/11.93
% 11.75/11.93
% 11.75/11.93 Compiling...
% 11.75/11.93 Loading plugin: done.
% 11.75/11.93 Compiling...
% 11.75/11.93 Loading plugin: done.
% 11.75/11.93 Compiling...
% 11.75/11.93 Loading plugin: done.
% 11.75/11.93 Compiling...
% 11.75/11.93 Loading plugin: done.
% 11.75/11.93 Compiling...
% 11.75/11.93 Loading plugin: done.
% 11.75/11.93 Compiling...
% 11.75/11.93 Loading plugin: done.
% 11.75/11.93 Compiling...
% 11.75/11.93 Loading plugin: done.
% 11.75/11.93 Compiling...
% 11.75/11.93 Loading plugin: done.
% 11.75/11.93 Compiling...
% 11.75/11.93 Loading plugin: done.
% 11.75/11.93 Compiling...
% 11.75/11.93 Loading plugin: done.
% 11.75/11.93 Compiling...
% 11.75/11.93 Loading plugin: done.
% 11.75/11.93 Compiling...
% 11.75/11.93 Loading plugin: done.
% 11.75/11.93 Compiling...
% 11.75/11.93 Loading plugin: done.
% 11.75/11.93 Compiling...
% 11.75/11.93 Loading plugin: done.
% 11.75/11.93 Compiling...
% 11.75/11.93 Loading plugin: done.
% 11.75/11.93 Compiling...
% 11.75/11.93 Loading plugin: done.
% 11.75/11.93 Compiling...
% 11.75/11.93 Loading plugin: done.
% 11.75/11.93 Compiling...
% 11.75/11.93 Loading plugin: done.
% 11.75/11.93 Compiling...
% 11.75/11.93 Loading plugin: done.
% 11.75/11.93 Compiling...
% 11.75/11.93 Loading plugin: done.
% 11.75/11.93 % % ------ Current options:
% 11.75/11.93
% 11.75/11.93 % ------ Input Options
% 11.75/11.93
% 11.75/11.93 % --out_options all
% 11.75/11.93 % --tptp_safe_out true
% 11.75/11.93 % --problem_path ""
% 11.75/11.93 % --include_path ""
% 11.75/11.93 % --clausifier .//eprover
% 11.75/11.93 % --clausifier_options --tstp-format
% 11.75/11.93 % --stdin false
% 11.75/11.93 % --dbg_backtrace false
% 11.75/11.93 % --dbg_dump_prop_clauses false
% 11.75/11.93 % --dbg_dump_prop_clauses_file -
% 11.75/11.93 % --dbg_out_stat false
% 11.75/11.93
% 11.75/11.93 % ------ General Options
% 11.75/11.93
% 11.75/11.93 % --fof false
% 11.75/11.93 % --time_out_real 150.
% 11.75/11.93 % --time_out_prep_mult 0.2
% 11.75/11.93 % --time_out_virtual -1.
% 11.75/11.93 % --schedule none
% 11.75/11.93 % --ground_splitting input
% 11.75/11.93 % --splitting_nvd 16
% 11.75/11.93 % --non_eq_to_eq false
% 11.75/11.93 % --prep_gs_sim true
% 11.75/11.93 % --prep_unflatten false
% 11.75/11.93 % --prep_res_sim true
% 11.75/11.93 % --prep_upred true
% 11.75/11.93 % --res_sim_input true
% 11.75/11.93 % --clause_weak_htbl true
% 11.75/11.93 % --gc_record_bc_elim false
% 11.75/11.93 % --symbol_type_check false
% 11.75/11.93 % --clausify_out false
% 11.75/11.93 % --large_theory_mode false
% 11.75/11.93 % --prep_sem_filter none
% 11.75/11.93 % --prep_sem_filter_out false
% 11.75/11.93 % --preprocessed_out false
% 11.75/11.93 % --sub_typing false
% 11.75/11.93 % --brand_transform false
% 11.75/11.93 % --pure_diseq_elim true
% 11.75/11.93 % --min_unsat_core false
% 11.75/11.93 % --pred_elim true
% 11.75/11.93 % --add_important_lit false
% 11.75/11.93 % --soft_assumptions false
% 11.75/11.93 % --reset_solvers false
% 11.75/11.93 % --bc_imp_inh []
% 11.75/11.93 % --conj_cone_tolerance 1.5
% 11.75/11.93 % --prolific_symb_bound 500
% 11.75/11.93 % --lt_threshold 2000
% 11.75/11.93
% 11.75/11.93 % ------ SAT Options
% 11.75/11.93
% 11.75/11.93 % --sat_mode false
% 11.75/11.93 % --sat_fm_restart_options ""
% 11.75/11.93 % --sat_gr_def false
% 11.75/11.93 % --sat_epr_types true
% 11.75/11.93 % --sat_non_cyclic_types false
% 11.75/11.93 % --sat_finite_models false
% 11.75/11.93 % --sat_fm_lemmas false
% 11.75/11.93 % --sat_fm_prep false
% 11.75/11.93 % --sat_fm_uc_incr true
% 11.75/11.93 % --sat_out_model small
% 11.75/11.93 % --sat_out_clauses false
% 11.75/11.93
% 11.75/11.93 % ------ QBF Options
% 11.75/11.93
% 11.75/11.93 % --qbf_mode false
% 11.75/11.93 % --qbf_elim_univ true
% 11.75/11.93 % --qbf_sk_in true
% 11.75/11.93 % --qbf_pred_elim true
% 11.75/11.93 % --qbf_split 32
% 11.75/11.93
% 11.75/11.93 % ------ BMC1 Options
% 11.75/11.93
% 11.75/11.93 % --bmc1_incremental false
% 11.75/11.93 % --bmc1_axioms reachable_all
% 11.75/11.93 % --bmc1_min_bound 0
% 11.75/11.93 % --bmc1_max_bound -1
% 11.75/11.93 % --bmc1_max_bound_default -1
% 11.75/11.93 % --bmc1_symbol_reachability true
% 11.75/11.93 % --bmc1_property_lemmas false
% 11.75/11.93 % --bmc1_k_induction false
% 11.75/11.93 % --bmc1_non_equiv_states false
% 11.75/11.93 % --bmc1_deadlock false
% 11.75/11.93 % --bmc1_ucm false
% 11.75/11.93 % --bmc1_add_unsat_core none
% 11.75/11.93 % --bmc1_unsat_core_children false
% 11.75/11.93 % --bmc1_unsat_core_extrapolate_axioms false
% 11.75/11.93 % --bmc1_out_stat full
% 11.75/11.93 % --bmc1_ground_init false
% 11.75/11.93 % --bmc1_pre_inst_next_state false
% 11.75/11.93 % --bmc1_pre_inst_state false
% 11.75/11.93 % --bmc1_pre_inst_reach_state false
% 11.75/11.93 % --bmc1_out_unsat_core false
% 11.75/11.93 % --bmc1_aig_witness_out false
% 11.75/11.93 % --bmc1_verbose false
% 11.75/11.93 % --bmc1_dump_clauses_tptp false
% 11.75/11.93 % --bmc1_dump_unsat_core_tptp false
% 11.75/11.93 % --bmc1_dump_file -
% 11.75/11.93 % --bmc1_ucm_expand_uc_limit 128
% 11.75/11.93 % --bmc1_ucm_n_expand_iterations 6
% 11.75/11.93 % --bmc1_ucm_extend_mode 1
% 11.75/11.93 % --bmc1_ucm_init_mode 2
% 11.75/11.93 % --bmc1_ucm_cone_mode none
% 11.75/11.93 % --bmc1_ucm_reduced_relation_type 0
% 11.75/11.93 % --bmc1_ucm_relax_model 4
% 11.75/11.93 % --bmc1_ucm_full_tr_after_sat true
% 11.75/11.93 % --bmc1_ucm_expand_neg_assumptions false
% 11.75/11.93 % --bmc1_ucm_layered_model none
% 11.75/11.93 % --bmc1_ucm_max_lemma_size 10
% 11.75/11.93
% 11.75/11.93 % ------ AIG Options
% 11.75/11.93
% 11.75/11.93 % --aig_mode false
% 11.75/11.93
% 11.75/11.93 % ------ Instantiation Options
% 11.75/11.93
% 11.75/11.93 % --instantiation_flag true
% 11.75/11.93 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 11.75/11.93 % --inst_solver_per_active 750
% 11.75/11.93 % --inst_solver_calls_frac 0.5
% 11.75/11.93 % --inst_passive_queue_type priority_queues
% 11.75/11.93 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 11.75/11.93 % --inst_passive_queues_freq [25;2]
% 11.75/11.93 % --inst_dismatching true
% 11.75/11.93 % --inst_eager_unprocessed_to_passive true
% 11.75/11.93 % --inst_prop_sim_given true
% 11.75/11.93 % --inst_prop_sim_new false
% 11.75/11.93 % --inst_orphan_elimination true
% 11.75/11.93 % --inst_learning_loop_flag true
% 11.75/11.93 % --inst_learning_start 3000
% 11.75/11.93 % --inst_learning_factor 2
% 11.75/11.93 % --inst_start_prop_sim_after_learn 3
% 11.75/11.93 % --inst_sel_renew solver
% 11.75/11.93 % --inst_lit_activity_flag true
% 11.75/11.93 % --inst_out_proof true
% 11.75/11.93
% 11.75/11.93 % ------ Resolution Options
% 11.75/11.93
% 11.75/11.93 % --resolution_flag true
% 11.75/11.93 % --res_lit_sel kbo_max
% 11.75/11.93 % --res_to_prop_solver none
% 11.75/11.93 % --res_prop_simpl_new false
% 11.75/11.93 % --res_prop_simpl_given false
% 11.75/11.93 % --res_passive_queue_type priority_queues
% 11.75/11.93 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 11.75/11.93 % --res_passive_queues_freq [15;5]
% 11.75/11.93 % --res_forward_subs full
% 11.75/11.93 % --res_backward_subs full
% 11.75/11.93 % --res_forward_subs_resolution true
% 11.75/11.93 % --res_backward_subs_resolution true
% 11.75/11.93 % --res_orphan_elimination false
% 11.75/11.93 % --res_time_limit 1000.
% 11.75/11.93 % --res_out_proof true
% 11.75/11.93 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_07074b.s
% 11.75/11.93 % --modulo true
% 11.75/11.93
% 11.75/11.93 % ------ Combination Options
% 11.75/11.93
% 11.75/11.93 % --comb_res_mult 1000
% 11.75/11.93 % --comb_inst_mult 300
% 11.75/11.93 % ------
% 11.75/11.93
% 11.75/11.93
% 11.75/11.93
% 11.75/11.93 % ------ Proving...
% 11.75/11.93 % warning: shown sat in sat incomplete mode
% 11.75/11.93 %
% 11.75/11.93
% 11.75/11.93
% 11.75/11.93
% 11.75/11.93
% 11.75/11.93 cnf(c_4793,plain,
% 11.75/11.93 ( X0 = X1
% 11.75/11.93 | 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)))))
% 11.75/11.93 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X1,X3,X10,X2,X11,X4,X5,X12,X6) ),
% 11.75/11.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6587_2) ).
% 11.75/11.93
% 11.75/11.93 cnf(c_20273,plain,
% 11.75/11.93 ( X0 = X1
% 11.75/11.93 | 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)))))
% 11.75/11.93 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X1,X3,X10,X2,X11,X4,X5,X12,X6) ),
% 11.75/11.93 inference(copy,[status(esa)],[c_4793]) ).
% 11.75/11.93
% 11.75/11.93 cnf(c_20274,plain,
% 11.75/11.93 ( 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)))))
% 11.75/11.93 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X1,X2,X10,X0,X11,X3,X4,X12,X5)
% 11.75/11.93 | X6 = X1 ),
% 11.75/11.93 inference(rewriting,[status(thm)],[c_20273]) ).
% 11.75/11.93
% 11.75/11.93 cnf(c_4790,plain,
% 11.75/11.93 ( X0 = X1
% 11.75/11.93 | 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)))))
% 11.75/11.93 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X1,X3,X10,X2,X11,X4,X5,X12,X6) ),
% 11.75/11.93 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6588_2) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20267,plain,
% 11.75/11.94 ( X0 = X1
% 11.75/11.94 | 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)))))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X1,X3,X10,X2,X11,X4,X5,X12,X6) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4790]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20268,plain,
% 11.75/11.94 ( 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)))))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X1,X2,X10,X0,X11,X3,X4,X12,X5)
% 11.75/11.94 | X7 = X1 ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20267]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4785,plain,
% 11.75/11.94 ( 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))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X10,X0,X11,X1,X2,X12,X3)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X4),X6)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6590_2) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20257,plain,
% 11.75/11.94 ( 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))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X10,X0,X11,X1,X2,X12,X3)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X4),X6)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4785]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20258,plain,
% 11.75/11.94 ( 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))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X4),X6))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X10,X0,X11,X1,X2,X12,X3) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20257]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4766,plain,
% 11.75/11.94 ( X0 = X1
% 11.75/11.94 | hBOOL(hAPP(hAPP(X2,X1),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),hAPP(X6,X0)),X7)))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X1,X10,X11,X2,X6,X3,X4,X12,X5) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6598_2) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20219,plain,
% 11.75/11.94 ( X0 = X1
% 11.75/11.94 | hBOOL(hAPP(hAPP(X2,X1),hAPP(hAPP(c_Power_Opower_Opower(X3,X4,X5),hAPP(X6,X0)),X7)))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X1,X10,X11,X2,X6,X3,X4,X12,X5) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4766]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20220,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),hAPP(X5,X6)),X7)))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X1,X10,X11,X0,X5,X2,X3,X12,X4)
% 11.75/11.94 | X6 = X1 ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20219]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4761,plain,
% 11.75/11.94 ( X0 = X1
% 11.75/11.94 | 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))))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X9,X2,X10,X3,X4,X11,X5) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6600_2) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20209,plain,
% 11.75/11.94 ( X0 = X1
% 11.75/11.94 | 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))))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X9,X2,X10,X3,X4,X11,X5) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4761]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20210,plain,
% 11.75/11.94 ( 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))))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X9,X0,X10,X2,X3,X11,X4)
% 11.75/11.94 | X5 = X1 ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20209]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4750,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X4,X10,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X5),X1)),X1)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6605_2) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20187,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X4,X10,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X5),X1)),X1)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4750]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20188,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X4,X3),X5))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,X6),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20187]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4749,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6605_3) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20185,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4749]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20186,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,X4),X2))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X5,X3),X6))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20185]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4746,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X5,X10,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X4),X2)),X2)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6606_2) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20179,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X5,X10,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X4),X2)),X2)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4746]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20180,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X4,X5),X3))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,X2),X6))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20179]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4745,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X1),X12)),X12))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6606_3) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20177,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X1),X12)),X12))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4745]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20178,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,X2),X4))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X5,X6),X3))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20177]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4742,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X4,X10,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X1),X5)),X1)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6607_2) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20171,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X4,X10,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X1),X5)),X1)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4742]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20172,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X4,X2),X5))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,X6),X3))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20171]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4741,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6607_3) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20169,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4741]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20170,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,X4),X3))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X5,X2),X6))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20169]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4738,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X5,X10,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X2),X4)),X2)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6608_2) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20163,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X5,X10,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X2),X4)),X2)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4738]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20164,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X4,X5),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,X3),X6))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20163]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4737,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X1)),X12))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6608_3) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20161,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X1)),X12))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4737]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20162,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,X3),X4))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X5,X6),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20161]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4734,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X4,X10,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X5),X1)),X1)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6609_2) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20155,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X4,X10,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X5),X1)),X1)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4734]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20156,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X4,X3),X5))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,X6),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20155]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4733,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6609_3) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20153,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X2),X12)),X12))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4733]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20154,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,X4),X2))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X5,X3),X6))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20153]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4730,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X5,X10,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X4),X2)),X2)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6610_2) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20147,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X5,X10,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X4),X2)),X2)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4730]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20148,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X4,X5),X3))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,X2),X6))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20147]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4729,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X1),X12)),X12))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6610_3) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20145,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X1),X12)),X12))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4729]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20146,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,X2),X4))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X5,X6),X3))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20145]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4726,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X4,X10,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X1),X5)),X1)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6611_2) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20139,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X4,X10,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X1),X5)),X1)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4726]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20140,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X4,X2),X5))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,X6),X3))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20139]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4725,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6611_3) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20137,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X2)),X12))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4725]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20138,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,X4),X3))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X5,X2),X6))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20137]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4722,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X5,X10,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X2),X4)),X2)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6612_2) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20131,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X5,X10,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X10,X2),X4)),X2)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4722]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20132,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X4,X5),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,X3),X6))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20131]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4721,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X1)),X12))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6612_3) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20129,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X9,X12),X1)),X12))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4721]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20130,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,X3),X4))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X5,X6),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20129]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4716,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X3,X2),X4)),X4))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X1,X3,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6614_2) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20119,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X3,X2),X4)),X4))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X1,X3,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4716]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20120,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X4),X2))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X2),X4))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X4,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20119]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4715,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X1,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X2),X10))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X10),X2)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6614_3) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20117,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X1,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X2),X10))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X10),X2)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4715]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20118,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X2),X4))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X4),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X4,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20117]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4712,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X3,X4),X2)),X4))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X1,X3,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6615_2) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20111,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X3,X4),X2)),X4))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X1,X3,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4712]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20112,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X4,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20111]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4711,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X1,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X3),X10))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X10),X3)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6615_3) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20109,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X1,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X3),X10))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X10),X3)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4711]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20110,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X4,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20109]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4708,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X3,X2),X4)),X4))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X1,X3,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6616_2) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20103,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X3,X2),X4)),X4))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X1,X3,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4708]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20104,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X4),X2))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X2),X4))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X4,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20103]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4707,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X1,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X2),X10))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X10),X2)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6616_3) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20101,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X1,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X2),X10))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X10),X2)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4707]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20102,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X2),X4))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X4),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X4,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20101]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4702,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X3,X4),X2)),X4))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X1,X3,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6618_2) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20091,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X3,X4),X2)),X4))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X1,X3,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4702]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20092,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X4,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20091]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4701,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X1,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X3),X10))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X10),X3)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6618_3) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20089,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X1,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X3),X10))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X10),X3)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4701]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20090,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X4,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20089]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4698,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X5),X2)),X5))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X0,X3,X10,X1,X6,X11,X12) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6619_2) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20083,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X5),X2)),X5))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X0,X3,X10,X1,X6,X11,X12) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4698]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20084,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X5,X6),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20083]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4697,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6619_3) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20081,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4697]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20082,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X4,X5),X2))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X6),X3))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20081]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4694,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X4),X1)),X4))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X3,X10,X2,X6,X11,X12) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6620_2) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20075,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X4),X1)),X4))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X3,X10,X2,X6,X11,X12) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4694]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20076,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X5,X2),X6))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20075]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4693,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X1),X5)),X1))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6620_3) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20073,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X1),X5)),X1))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4693]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20074,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X4,X2),X5))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X3),X6))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20073]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4690,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X2),X5)),X5))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X0,X3,X10,X1,X6,X11,X12) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6621_2) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20067,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X2),X5)),X5))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X0,X3,X10,X1,X6,X11,X12) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4690]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20068,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X4),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X5,X6),X3))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20067]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4689,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6621_3) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20065,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4689]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20066,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X4,X5),X3))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X6),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20065]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4686,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X1),X4)),X4))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X3,X10,X2,X6,X11,X12) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6622_2) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20059,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X1),X4)),X4))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X3,X10,X2,X6,X11,X12) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4686]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20060,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X2),X4))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X5,X3),X6))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20059]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4685,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X1)),X1))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6622_3) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20057,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X1)),X1))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4685]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20058,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X4,X3),X5))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X2),X6))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20057]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4682,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X5),X2)),X5))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X3,X0,X10,X1,X6,X11,X12) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6623_2) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20051,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X5),X2)),X5))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X3,X0,X10,X1,X6,X11,X12) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4682]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20052,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X5,X6),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20051]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4681,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6623_3) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20049,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4681]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20050,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X4,X5),X2))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X6),X3))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20049]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4678,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X4),X1)),X4))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X3,X0,X10,X2,X6,X11,X12) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6624_2) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20043,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X4),X1)),X4))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X3,X0,X10,X2,X6,X11,X12) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4678]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20044,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X5,X2),X6))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20043]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4677,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X1),X5)),X1))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6624_3) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20041,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X1),X5)),X1))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4677]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20042,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X4,X2),X5))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X3),X6))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20041]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4674,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X2),X5)),X5))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X3,X0,X10,X1,X6,X11,X12) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6625_2) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20035,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X2),X5)),X5))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X3,X0,X10,X1,X6,X11,X12) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4674]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20036,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X4),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X5,X6),X3))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20035]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4673,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6625_3) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20033,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4673]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20034,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X4,X5),X3))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X6),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20033]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4670,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X1),X4)),X4))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X3,X0,X10,X2,X6,X11,X12) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6626_2) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20027,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X6,X1),X4)),X4))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X3,X0,X10,X2,X6,X11,X12) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4670]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20028,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X2),X4))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X5,X3),X6))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20027]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4669,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X1)),X1))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6626_3) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20025,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X1)),X1))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4669]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20026,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X4,X3),X5))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X2),X6))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X1,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20025]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4666,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X5,X10,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X10,X4),X1))) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6627_2) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20019,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X5,X10,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X10,X4),X1))) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4666]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20020,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X4,X1),X5))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,X3),X6))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X2,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20019]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4665,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12)))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6627_3) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20017,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12)))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4665]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20018,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,X3),X4))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X5,X1),X6))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X2,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20017]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4662,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X4,X10,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X10,X5),X2))) ),
% 11.75/11.94 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6628_2) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20011,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X4,X10,X11,X12)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X10,X5),X2))) ),
% 11.75/11.94 inference(copy,[status(esa)],[c_4662]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_20012,plain,
% 11.75/11.94 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X4,X5),X1))
% 11.75/11.94 | hBOOL(hAPP(hAPP(X0,X6),X3))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X2,X11,X12) ),
% 11.75/11.94 inference(rewriting,[status(thm)],[c_20011]) ).
% 11.75/11.94
% 11.75/11.94 cnf(c_4661,plain,
% 11.75/11.94 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.94 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X2),X12)))
% 11.75/11.94 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6628_3) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_20009,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X2),X12)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4661]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_20010,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X4),X3))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X5,X6),X1))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_20009]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4658,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X5,X10,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X10,X1),X4))) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6629_2) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_20003,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X5,X10,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X10,X1),X4))) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4658]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_20004,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X4,X1),X5))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X3),X6))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_20003]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4657,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6629_3) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_20001,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X2,X9,X10,X11)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4657]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_20002,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X3),X4))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X5,X1),X6))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_20001]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4654,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X4,X10,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X10,X2),X5))) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6630_2) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19995,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X4,X10,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X10,X2),X5))) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4654]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19996,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X4,X5),X1))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X6),X3))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19995]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4653,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X2)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6630_3) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19993,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X1,X9,X10,X11)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X2)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4653]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19994,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X4),X3))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X5,X6),X1))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19993]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4650,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X5,X10,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X10,X4),X1))) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6631_2) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19987,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X5,X10,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X10,X4),X1))) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4650]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19988,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X4,X1),X5))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X3),X6))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19987]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4649,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6631_3) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19985,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X1),X12)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4649]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19986,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X3),X4))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X5,X1),X6))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19985]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4646,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X4,X10,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X10,X5),X2))) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6632_2) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19979,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X4,X10,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X10,X5),X2))) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4646]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19980,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X4,X5),X1))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X6),X3))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19979]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4645,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X2),X12)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6632_3) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19977,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X2),X12)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4645]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19978,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X4),X3))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X5,X6),X1))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19977]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4642,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X5,X10,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X10,X1),X4))) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6633_2) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19971,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X5,X10,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X10,X1),X4))) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4642]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19972,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X4,X1),X5))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X3),X6))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19971]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4641,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6633_3) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19969,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X2,X9,X10,X11)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X1)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X7,X12),X5)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4641]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19970,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X3),X4))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X5,X1),X6))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19969]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4638,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X4,X10,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X10,X2),X5))) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6634_2) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19963,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X4,X10,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X10,X2),X5))) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4638]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19964,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X4,X5),X1))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X6),X3))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19963]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4637,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X2)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6634_3) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19961,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X0,X7,X8,X1,X9,X10,X11)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X12),hAPP(hAPP(X9,X12),X2)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X7,X5),X12)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4637]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19962,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X4),X3))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X5,X6),X1))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19961]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4636,plain,
% 11.75/11.95 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.75/11.95 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X12),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X2),X12)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6635_0) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19959,plain,
% 11.75/11.95 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.75/11.95 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X12))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X12),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X2),X12)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4636]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19960,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X3),X5))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X5),X3))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X4,X0,X9,X10,X1,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19959]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4633,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6635_3) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19953,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4633]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19954,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X5),X3))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X3),X5))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X4,X0,X9,X10,X1,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19953]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4632,plain,
% 11.75/11.95 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.75/11.95 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6636_0) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19951,plain,
% 11.75/11.95 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.75/11.95 | hBOOL(hAPP(hAPP(X5,hAPP(hAPP(X8,X11),X12)),X11))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4632]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19952,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X2),X5))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X5),X2))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X4,X0,X9,X10,X1,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19951]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4629,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6636_3) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19945,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4629]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19946,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X5),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X2),X5))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X4,X0,X9,X10,X1,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19945]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4628,plain,
% 11.75/11.95 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X5,X12),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X5,X2),X12)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6637_0) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19943,plain,
% 11.75/11.95 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X12))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X5,X12),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X5,X2),X12)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4628]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19944,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X3),X5))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X5),X3))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X0,X4,X9,X10,X1,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19943]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4625,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6637_3) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19937,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X5),X2)),X2))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4625]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19938,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X5),X3))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X3),X5))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X0,X4,X9,X10,X1,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19937]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4624,plain,
% 11.75/11.95 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6638_0) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19935,plain,
% 11.75/11.95 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,hAPP(hAPP(X8,X11),X12)),X11))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4624]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19936,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X2),X5))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X5),X2))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X0,X4,X9,X10,X1,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19935]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4621,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6638_3) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19929,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,hAPP(hAPP(X4,X2),X5)),X2))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4621]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19930,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X5),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X2),X5))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X0,X4,X9,X10,X1,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19929]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4618,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X3),hAPP(hAPP(X4,X1),X3)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X2,X4,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6639_2) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19923,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X3),hAPP(hAPP(X4,X1),X3)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X2,X4,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4618]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19924,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X4,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19923]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4617,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X2,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6639_3) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19921,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X2,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4617]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19922,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X4,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19921]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4614,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X3),hAPP(hAPP(X4,X3),X1)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X2,X4,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6640_2) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19915,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X3),hAPP(hAPP(X4,X3),X1)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X2,X4,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4614]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19916,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X4,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19915]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4613,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X2,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6640_3) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19913,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X0,X9,X10,X2,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4613]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19914,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X0,X10,X4,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19913]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4610,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X3),hAPP(hAPP(X4,X1),X3)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X2,X4,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6641_2) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19907,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X3),hAPP(hAPP(X4,X1),X3)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X2,X4,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4610]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19908,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X4,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19907]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4609,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X2,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6641_3) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19905,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X2,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4609]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19906,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X4,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19905]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4606,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X3),hAPP(hAPP(X4,X3),X1)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X2,X4,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6642_2) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19899,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X3),hAPP(hAPP(X4,X3),X1)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X2,X4,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4606]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19900,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X4,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19899]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4605,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X2,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6642_3) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19897,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X0,X8,X9,X10,X2,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X10),X3))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X3),X10)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4605]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19898,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X0,X9,X10,X4,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19897]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4602,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X5),hAPP(hAPP(X6,X5),X1)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X0,X3,X10,X2,X6,X11,X12) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6643_2) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19891,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X5),hAPP(hAPP(X6,X5),X1)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X0,X3,X10,X2,X6,X11,X12) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4602]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19892,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X5,X6),X1))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19891]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4601,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6643_3) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19889,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4601]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19890,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X5),X1))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X3),X6))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19889]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4598,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X4),hAPP(hAPP(X6,X4),X2)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X3,X10,X1,X6,X11,X12) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6644_2) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19883,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X4),hAPP(hAPP(X6,X4),X2)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X3,X10,X1,X6,X11,X12) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4598]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19884,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X5,X1),X6))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19883]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4597,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X1),X5)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6644_3) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19881,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X1),X5)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4597]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19882,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X1),X5))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X6),X3))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19881]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4594,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X5),hAPP(hAPP(X6,X1),X5)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X0,X3,X10,X2,X6,X11,X12) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6645_2) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19875,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X5),hAPP(hAPP(X6,X1),X5)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X0,X3,X10,X2,X6,X11,X12) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4594]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19876,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X5,X6),X1))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19875]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4593,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6645_3) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19873,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4593]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19874,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X5),X1))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X3),X6))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19873]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4590,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X4),hAPP(hAPP(X6,X2),X4)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X3,X10,X1,X6,X11,X12) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6646_2) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19867,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X4),hAPP(hAPP(X6,X2),X4)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X3,X10,X1,X6,X11,X12) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4590]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19868,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X5,X1),X6))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X0,X5,X10,X4,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19867]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4589,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X5),X1)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6646_3) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19865,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X5),X1)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X3,X0,X9,X10,X4,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4589]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19866,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X1),X5))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X6),X3))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X0,X4,X10,X6,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19865]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4586,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X5),hAPP(hAPP(X6,X5),X1)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X3,X0,X10,X2,X6,X11,X12) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6647_2) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19859,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X5),hAPP(hAPP(X6,X5),X1)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X3,X0,X10,X2,X6,X11,X12) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4586]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19860,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X5,X6),X1))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19859]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4585,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6647_3) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19857,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4585]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19858,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X5),X1))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X3),X6))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19857]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4582,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X4),hAPP(hAPP(X6,X4),X2)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X3,X0,X10,X1,X6,X11,X12) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6648_2) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19851,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X4),hAPP(hAPP(X6,X4),X2)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X3,X0,X10,X1,X6,X11,X12) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4582]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19852,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X5,X1),X6))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19851]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4581,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X1),X5)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6648_3) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19849,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X1),X5)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4581]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19850,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X1),X5))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X6),X3))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19849]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4578,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X5),hAPP(hAPP(X6,X1),X5)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X3,X0,X10,X2,X6,X11,X12) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6649_2) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19843,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X5),hAPP(hAPP(X6,X1),X5)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X4,X9,X3,X0,X10,X2,X6,X11,X12) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4578]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19844,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X5,X6),X1))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19843]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4577,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6649_3) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19841,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X3,X5),X10)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4577]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19842,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X5),X1))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X3),X6))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19841]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4574,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X4),hAPP(hAPP(X6,X2),X4)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X3,X0,X10,X1,X6,X11,X12) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6650_2) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19835,plain,
% 11.75/11.95 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X4),X5))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X4),hAPP(hAPP(X6,X2),X4)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X3,X0,X10,X1,X6,X11,X12) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4574]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19836,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X4),X3))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X5,X1),X6))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X6,X9,X5,X0,X10,X4,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19835]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4573,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X5),X1)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6650_3) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19833,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X1),hAPP(hAPP(X4,X5),X1)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X2,X8,X0,X3,X9,X10,X4,X11,X12)
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X3,X10),X5)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4573]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19834,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X1),X5))
% 11.75/11.95 | ~ hBOOL(hAPP(hAPP(X0,X6),X3))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X5,X9,X4,X0,X10,X6,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19833]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4572,plain,
% 11.75/11.95 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.75/11.95 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6651_0) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19831,plain,
% 11.75/11.95 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.75/11.95 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X12),X11)))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4572]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19832,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X1),X5))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X5),X1))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X4,X0,X9,X10,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19831]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4569,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6651_3) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19825,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4569]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19826,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X5),X1))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X1),X5))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X4,X0,X9,X10,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19825]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4568,plain,
% 11.75/11.95 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.75/11.95 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6652_0) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19823,plain,
% 11.75/11.95 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.75/11.95 | hBOOL(hAPP(hAPP(X5,X11),hAPP(hAPP(X8,X11),X12)))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X11),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X2),X11)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4568]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19824,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X1),X5))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X5),X1))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X4,X0,X9,X10,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19823]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4565,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6652_3) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19817,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X3,X9,X10,X4,X11,X12) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4565]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19818,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X5),X1))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X1),X5))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X4,X0,X9,X10,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19817]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4564,plain,
% 11.75/11.95 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6653_0) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19815,plain,
% 11.75/11.95 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X12),X11)))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4564]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19816,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X1),X5))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X4,X5),X1))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X0,X4,X9,X10,X2,X11,X12) ),
% 11.75/11.95 inference(rewriting,[status(thm)],[c_19815]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_4561,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12) ),
% 11.75/11.95 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6653_3) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19809,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 11.75/11.95 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X5),X2)))
% 11.75/11.95 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12) ),
% 11.75/11.95 inference(copy,[status(esa)],[c_4561]) ).
% 11.75/11.95
% 11.75/11.95 cnf(c_19810,plain,
% 11.75/11.95 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)))
% 11.75/11.96 | hBOOL(hAPP(hAPP(X4,X5),X1))
% 11.75/11.96 | hBOOL(hAPP(hAPP(X4,X1),X5))
% 11.75/11.96 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X0,X4,X9,X10,X2,X11,X12) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_19809]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4560,plain,
% 11.75/11.96 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.75/11.96 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 11.75/11.96 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 11.75/11.96 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6654_0) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19807,plain,
% 11.75/11.96 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.75/11.96 | hBOOL(hAPP(hAPP(X4,X11),hAPP(hAPP(X8,X11),X12)))
% 11.75/11.96 | hBOOL(hAPP(hAPP(X5,X11),X2))
% 11.75/11.96 | hBOOL(hAPP(hAPP(X5,X2),X11)) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4560]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19808,plain,
% 11.75/11.96 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 11.75/11.96 | hBOOL(hAPP(hAPP(X4,X1),X5))
% 11.75/11.96 | hBOOL(hAPP(hAPP(X4,X5),X1))
% 11.75/11.96 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X0,X4,X9,X10,X2,X11,X12) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_19807]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4557,plain,
% 11.75/11.96 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.96 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 11.75/11.96 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 11.75/11.96 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6654_3) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19801,plain,
% 11.75/11.96 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.96 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 11.75/11.96 | hBOOL(hAPP(hAPP(X3,X2),hAPP(hAPP(X4,X2),X5)))
% 11.75/11.96 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X3,X0,X9,X10,X4,X11,X12) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4557]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19802,plain,
% 11.75/11.96 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)))
% 11.75/11.96 | hBOOL(hAPP(hAPP(X4,X5),X1))
% 11.75/11.96 | hBOOL(hAPP(hAPP(X4,X1),X5))
% 11.75/11.96 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X0,X4,X9,X10,X2,X11,X12) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_19801]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4551,plain,
% 11.75/11.96 ( hBOOL(hAPP(hAPP(X0,hAPP(X1,X2)),X3))
% 11.75/11.96 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X3,X6,X7,X0,X8,X9,X10,X1,X11)
% 11.75/11.96 | ~ hBOOL(hAPP(hAPP(X0,X2),X3)) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6656_2) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19789,plain,
% 11.75/11.96 ( hBOOL(hAPP(hAPP(X0,hAPP(X1,X2)),X3))
% 11.75/11.96 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X3,X6,X7,X0,X8,X9,X10,X1,X11)
% 11.75/11.96 | ~ hBOOL(hAPP(hAPP(X0,X2),X3)) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4551]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19790,plain,
% 11.75/11.96 ( hBOOL(hAPP(hAPP(X0,hAPP(X1,X2)),X3))
% 11.75/11.96 | ~ hBOOL(hAPP(hAPP(X0,X2),X3))
% 11.75/11.96 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X3,X6,X7,X0,X8,X9,X10,X1,X11) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_19789]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4543,plain,
% 11.75/11.96 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(X2,X3)))
% 11.75/11.96 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X1,X6,X7,X0,X8,X9,X10,X2,X11)
% 11.75/11.96 | ~ hBOOL(hAPP(hAPP(X0,X1),X3)) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6659_2) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19773,plain,
% 11.75/11.96 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(X2,X3)))
% 11.75/11.96 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X1,X6,X7,X0,X8,X9,X10,X2,X11)
% 11.75/11.96 | ~ hBOOL(hAPP(hAPP(X0,X1),X3)) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4543]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19774,plain,
% 11.75/11.96 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(X2,X3)))
% 11.75/11.96 | ~ hBOOL(hAPP(hAPP(X0,X1),X3))
% 11.75/11.96 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X1,X6,X7,X0,X8,X9,X10,X2,X11) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_19773]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4537,plain,
% 11.75/11.96 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.75/11.96 | hBOOL(hAPP(hAPP(X5,X11),X12))
% 11.75/11.96 | X12 = X11
% 11.75/11.96 | hBOOL(hAPP(hAPP(X5,X12),X11)) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6662_1) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19761,plain,
% 11.75/11.96 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.75/11.96 | hBOOL(hAPP(hAPP(X5,X11),X12))
% 11.75/11.96 | X12 = X11
% 11.75/11.96 | hBOOL(hAPP(hAPP(X5,X12),X11)) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4537]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19762,plain,
% 11.75/11.96 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.96 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 11.75/11.96 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X9,X10,X11,X12)
% 11.75/11.96 | X2 = X1 ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_19761]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4535,plain,
% 11.75/11.96 ( X0 = X1
% 11.75/11.96 | hBOOL(hAPP(hAPP(X2,X0),X1))
% 11.75/11.96 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 11.75/11.96 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X2,X8,X9,X10,X11,X12) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6662_3) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19757,plain,
% 11.75/11.96 ( X0 = X1
% 11.75/11.96 | hBOOL(hAPP(hAPP(X2,X0),X1))
% 11.75/11.96 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 11.75/11.96 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X2,X8,X9,X10,X11,X12) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4535]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19758,plain,
% 11.75/11.96 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.75/11.96 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 11.75/11.96 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X0,X8,X9,X10,X11,X12)
% 11.75/11.96 | X1 = X2 ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_19757]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4393,plain,
% 11.75/11.96 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 11.75/11.96 | ~ c_lessequals(X0,X3,tc_nat)
% 11.75/11.96 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6730_2) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19473,plain,
% 11.75/11.96 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 11.75/11.96 | ~ c_lessequals(X0,X3,tc_nat)
% 11.75/11.96 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4393]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19474,plain,
% 11.75/11.96 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 11.75/11.96 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat)
% 11.75/11.96 | ~ c_lessequals(X0,X3,tc_nat) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_19473]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4387,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 11.75/11.96 | ~ c_lessequals(X3,X0,tc_nat)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2),X4,tc_nat) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6732_2) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19461,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 11.75/11.96 | ~ c_lessequals(X3,X0,tc_nat)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2),X4,tc_nat) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4387]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19462,plain,
% 11.75/11.96 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3),X4,tc_nat)
% 11.75/11.96 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X4),tc_nat) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_19461]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4384,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 11.75/11.96 | ~ c_lessequals(X0,X3,tc_nat)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6733_2) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19455,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 11.75/11.96 | ~ c_lessequals(X0,X3,tc_nat)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4384]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19456,plain,
% 11.75/11.96 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.75/11.96 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X4),tc_nat) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_19455]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4373,plain,
% 11.75/11.96 ( c_SEQ_OLIMSEQ(X0,X1,X2)
% 11.75/11.96 | ~ c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X0,X2,X2,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
% 11.75/11.96 | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6737_2) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19433,plain,
% 11.75/11.96 ( c_SEQ_OLIMSEQ(X0,X1,X2)
% 11.75/11.96 | ~ c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X0,X2,X2,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
% 11.75/11.96 | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4373]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19434,plain,
% 11.75/11.96 ( ~ c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X0),X1,X0,X0,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 11.75/11.96 | c_SEQ_OLIMSEQ(X1,X2,X0)
% 11.75/11.96 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_19433]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4352,plain,
% 11.75/11.96 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 11.75/11.96 | ~ c_lessequals(X1,X0,tc_nat)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6744_2) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19391,plain,
% 11.75/11.96 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 11.75/11.96 | ~ c_lessequals(X1,X0,tc_nat)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4352]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19392,plain,
% 11.75/11.96 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat)
% 11.75/11.96 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_19391]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4349,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 11.75/11.96 | ~ c_lessequals(X1,X0,tc_nat)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6745_2) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19385,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 11.75/11.96 | ~ c_lessequals(X1,X0,tc_nat)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4349]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19386,plain,
% 11.75/11.96 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.75/11.96 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3),X4,tc_nat)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X4),tc_nat) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_19385]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4346,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3)),X4),tc_nat)
% 11.75/11.96 | ~ c_lessequals(X2,X1,tc_nat)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4),tc_nat) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6746_2) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19379,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3)),X4),tc_nat)
% 11.75/11.96 | ~ c_lessequals(X2,X1,tc_nat)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4),tc_nat) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4346]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19380,plain,
% 11.75/11.96 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat)
% 11.75/11.96 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X4),tc_nat) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_19379]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4311,plain,
% 11.75/11.96 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.75/11.96 | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Oinverse__class_Oinverse(X1),X2,X1,X1,tc_nat),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0),X1)
% 11.75/11.96 | ~ c_SEQ_OLIMSEQ(X2,X0,X1)
% 11.75/11.96 | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6762_3) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19309,plain,
% 11.75/11.96 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.75/11.96 | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Oinverse__class_Oinverse(X1),X2,X1,X1,tc_nat),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0),X1)
% 11.75/11.96 | ~ c_SEQ_OLIMSEQ(X2,X0,X1)
% 11.75/11.96 | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4311]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19310,plain,
% 11.75/11.96 ( c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Oinverse__class_Oinverse(X0),X1,X0,X0,tc_nat),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 11.75/11.96 | ~ c_SEQ_OLIMSEQ(X1,X2,X0)
% 11.75/11.96 | ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 11.75/11.96 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_19309]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4263,plain,
% 11.75/11.96 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3) = X4
% 11.75/11.96 | ~ c_lessequals(X1,X0,tc_nat)
% 11.75/11.96 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6783_2) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19213,plain,
% 11.75/11.96 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3) = X4
% 11.75/11.96 | ~ c_lessequals(X1,X0,tc_nat)
% 11.75/11.96 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4263]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19214,plain,
% 11.75/11.96 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.75/11.96 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3) = X4
% 11.75/11.96 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X4) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_19213]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4260,plain,
% 11.75/11.96 ( X0 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3)),X4)
% 11.75/11.96 | ~ c_lessequals(X2,X1,tc_nat)
% 11.75/11.96 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6784_2) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19207,plain,
% 11.75/11.96 ( X0 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3)),X4)
% 11.75/11.96 | ~ c_lessequals(X2,X1,tc_nat)
% 11.75/11.96 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4260]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19208,plain,
% 11.75/11.96 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.75/11.96 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4)
% 11.75/11.96 | X3 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X4) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_19207]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4249,plain,
% 11.75/11.96 ( 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)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X3,X0,tc_nat) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6791_2) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19185,plain,
% 11.75/11.96 ( 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)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X3,X0,tc_nat) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4249]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19186,plain,
% 11.75/11.96 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.75/11.96 | 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)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_19185]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4189,plain,
% 11.75/11.96 ( c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X2,X1)
% 11.75/11.96 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X1)
% 11.75/11.96 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.75/11.96 | ~ class_Int_Onumber(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6814_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19065,plain,
% 11.75/11.96 ( c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X2,X1)
% 11.75/11.96 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X1)
% 11.75/11.96 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.75/11.96 | ~ class_Int_Onumber(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4189]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19066,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X2,X0)
% 11.75/11.96 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_19065]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4182,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X2,X1)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X1)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.75/11.96 | ~ class_Int_Onumber(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6815_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19051,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X2,X1)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X1)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.75/11.96 | ~ class_Int_Onumber(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4182]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19052,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X2,X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_19051]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4175,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X2)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X0,X2)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 11.75/11.96 | ~ class_Int_Onumber(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6816_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19037,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X2)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X0,X2)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 11.75/11.96 | ~ class_Int_Onumber(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4175]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19038,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_19037]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4168,plain,
% 11.75/11.96 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 11.75/11.96 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X2)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X0,X2)
% 11.75/11.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 11.75/11.96 | ~ class_Int_Onumber(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6817_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19023,plain,
% 11.75/11.96 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 11.75/11.96 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X2)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X0,X2)
% 11.75/11.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 11.75/11.96 | ~ class_Int_Onumber(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4168]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_19024,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 11.75/11.96 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_19023]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4148,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X2,X1)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X1)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.75/11.96 | ~ class_Int_Onumber(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6821_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18983,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X2,X1)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X1)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.75/11.96 | ~ class_Int_Onumber(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4148]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18984,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X2,X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18983]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4141,plain,
% 11.75/11.96 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 11.75/11.96 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X2)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X0,X2)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.75/11.96 | ~ class_Int_Onumber(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6822_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18969,plain,
% 11.75/11.96 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 11.75/11.96 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X2)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X0,X2)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.75/11.96 | ~ class_Int_Onumber(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4141]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18970,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 11.75/11.96 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18969]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4134,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X2)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X0,X2)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.75/11.96 | ~ class_Int_Onumber(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6823_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18955,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X2)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X0,X2)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.75/11.96 | ~ class_Int_Onumber(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4134]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18956,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18955]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4127,plain,
% 11.75/11.96 ( c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X2,X1)
% 11.75/11.96 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X1)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.75/11.96 | ~ class_Int_Onumber(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6824_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18941,plain,
% 11.75/11.96 ( c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X2,X1)
% 11.75/11.96 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X1)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.75/11.96 | ~ class_Int_Onumber(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4127]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18942,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X2,X0)
% 11.75/11.96 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18941]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4114,plain,
% 11.75/11.96 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X1,X3)
% 11.75/11.96 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X3)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
% 11.75/11.96 | ~ class_Int_Onumber(X3)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6828_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18915,plain,
% 11.75/11.96 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X1,X3)
% 11.75/11.96 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X3)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
% 11.75/11.96 | ~ class_Int_Onumber(X3)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4114]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18916,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 11.75/11.96 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X0)
% 11.75/11.96 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18915]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4107,plain,
% 11.75/11.96 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 11.75/11.96 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X2)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X0,X2)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.75/11.96 | ~ class_Int_Onumber(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6829_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18901,plain,
% 11.75/11.96 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 11.75/11.96 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X2)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X0,X2)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.75/11.96 | ~ class_Int_Onumber(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4107]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18902,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 11.75/11.96 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 11.75/11.96 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18901]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4100,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X2)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X0,X2)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.75/11.96 | ~ class_Int_Onumber(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6830_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18887,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X2)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X0,X2)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.75/11.96 | ~ class_Int_Onumber(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4100]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18888,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18887]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4093,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X1,X3)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X3)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
% 11.75/11.96 | ~ class_Int_Onumber(X3)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6831_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18873,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X1,X3)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X3)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
% 11.75/11.96 | ~ class_Int_Onumber(X3)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4093]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18874,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18873]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4078,plain,
% 11.75/11.96 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X1,X3)
% 11.75/11.96 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X3)
% 11.75/11.96 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 11.75/11.96 | ~ class_Int_Onumber(X3)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6835_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18843,plain,
% 11.75/11.96 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X1,X3)
% 11.75/11.96 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X3)
% 11.75/11.96 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 11.75/11.96 | ~ class_Int_Onumber(X3)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4078]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18844,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 11.75/11.96 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X0)
% 11.75/11.96 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18843]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4071,plain,
% 11.75/11.96 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 11.75/11.96 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X2)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X0,X2)
% 11.75/11.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.75/11.96 | ~ class_Int_Onumber(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6836_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18829,plain,
% 11.75/11.96 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 11.75/11.96 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X2)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X0,X2)
% 11.75/11.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.75/11.96 | ~ class_Int_Onumber(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4071]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18830,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 11.75/11.96 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 11.75/11.96 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18829]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4064,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X2)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X0,X2)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.75/11.96 | ~ class_Int_Onumber(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6837_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18815,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X2)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X0,X2)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.75/11.96 | ~ class_Int_Onumber(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4064]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18816,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18815]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4057,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X1,X3)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X3)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 11.75/11.96 | ~ class_Int_Onumber(X3)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6838_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18801,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X1,X3)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X3)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 11.75/11.96 | ~ class_Int_Onumber(X3)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4057]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18802,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18801]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4008,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.75/11.96 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X2,X0)
% 11.75/11.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.75/11.96 | ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6858_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18703,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.75/11.96 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X2,X0)
% 11.75/11.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.75/11.96 | ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4008]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18704,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 11.75/11.96 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18703]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_4001,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.75/11.96 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 11.75/11.96 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X3,X1)),X0),X1)
% 11.75/11.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 11.75/11.96 | ~ class_Int_Onumber(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6859_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18689,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.75/11.96 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 11.75/11.96 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X3,X1)),X0),X1)
% 11.75/11.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 11.75/11.96 | ~ class_Int_Onumber(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_4001]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18690,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18689]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_3994,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X0,X1),X1)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X2,X1)),X0),X3,X1)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.75/11.96 | ~ class_Int_Onumber(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6860_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18675,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X0,X1),X1)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X2,X1)),X0),X3,X1)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.75/11.96 | ~ class_Int_Onumber(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_3994]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18676,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X2,X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18675]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_3987,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6861_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18661,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_3987]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18662,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18661]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_3980,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X3,X1)),X0),X1)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 11.75/11.96 | ~ class_Int_Onumber(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6862_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18647,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X3,X1)),X0),X1)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 11.75/11.96 | ~ class_Int_Onumber(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_3980]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18648,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18647]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_3973,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X2,X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.75/11.96 | ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6863_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18633,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X2,X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.75/11.96 | ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_3973]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18634,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18633]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_3966,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.75/11.96 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.75/11.96 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X0)
% 11.75/11.96 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6864_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18619,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.75/11.96 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.75/11.96 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X0)
% 11.75/11.96 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_3966]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18620,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 11.75/11.96 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18619]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_3959,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.75/11.96 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X0,X1),X1)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X2,X1)),X0),X3,X1)
% 11.75/11.96 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.75/11.96 | ~ class_Int_Onumber(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6865_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18605,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.75/11.96 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X0,X1),X1)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X2,X1)),X0),X3,X1)
% 11.75/11.96 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.75/11.96 | ~ class_Int_Onumber(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_3959]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18606,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X2,X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18605]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_3952,plain,
% 11.75/11.96 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)))
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3),X1,tc_nat)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),hAPP(c_Suc,X3)),tc_nat)
% 11.75/11.96 | ~ hBOOL(hAPP(X0,X3)) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6867_3) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18591,plain,
% 11.75/11.96 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)))
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3),X1,tc_nat)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),hAPP(c_Suc,X3)),tc_nat)
% 11.75/11.96 | ~ hBOOL(hAPP(X0,X3)) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_3952]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18592,plain,
% 11.75/11.96 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X2,tc_nat)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),hAPP(c_Suc,X1)),tc_nat)
% 11.75/11.96 | hBOOL(hAPP(X3,c_Divides_Odiv__class_Odiv(X2,X0,tc_nat)))
% 11.75/11.96 | ~ hBOOL(hAPP(X3,X1)) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18591]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_3941,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 11.75/11.96 | ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6870_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18569,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 11.75/11.96 | ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_3941]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18570,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | c_lessequals(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X3,X0)),X0)
% 11.75/11.96 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18569]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_3934,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 11.75/11.96 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6871_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18555,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 11.75/11.96 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_3934]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18556,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 11.75/11.96 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18555]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_3927,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6872_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18541,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_3927]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18542,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18541]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_3920,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6873_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18527,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_3920]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18528,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18527]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_3907,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.75/11.96 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6876_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18501,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.75/11.96 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_3907]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18502,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X3,X0)),X0)
% 11.75/11.96 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18501]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_3900,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X2,X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6877_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18487,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X2,X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_3900]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18488,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 11.75/11.96 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18487]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_3893,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6878_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18473,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_3893]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18474,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18473]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_3886,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X2,X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6879_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18459,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X2,X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_3886]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18460,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18459]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_3877,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.75/11.96 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.75/11.96 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6881_6) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18441,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.75/11.96 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.75/11.96 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Int_Onumber(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(copy,[status(esa)],[c_3877]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_18442,plain,
% 11.75/11.96 ( ~ class_Int_Onumber(X0)
% 11.75/11.96 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 11.75/11.96 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.75/11.96 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.96 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.96 inference(rewriting,[status(thm)],[c_18441]) ).
% 11.75/11.96
% 11.75/11.96 cnf(c_3870,plain,
% 11.75/11.96 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.75/11.96 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X0)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.97 | ~ class_Int_Onumber(X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6882_6) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_18427,plain,
% 11.75/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.75/11.97 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X0)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.97 | ~ class_Int_Onumber(X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.97 inference(copy,[status(esa)],[c_3870]) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_18428,plain,
% 11.75/11.97 ( ~ class_Int_Onumber(X0)
% 11.75/11.97 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 11.75/11.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.97 inference(rewriting,[status(thm)],[c_18427]) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_3863,plain,
% 11.75/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.75/11.97 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.75/11.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X2,X0)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.97 | ~ class_Int_Onumber(X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6883_6) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_18413,plain,
% 11.75/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.75/11.97 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.75/11.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X2,X0)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.97 | ~ class_Int_Onumber(X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.97 inference(copy,[status(esa)],[c_3863]) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_18414,plain,
% 11.75/11.97 ( ~ class_Int_Onumber(X0)
% 11.75/11.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 11.75/11.97 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.75/11.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.97 inference(rewriting,[status(thm)],[c_18413]) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_3856,plain,
% 11.75/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.75/11.97 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X2,X0)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.97 | ~ class_Int_Onumber(X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6884_6) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_18399,plain,
% 11.75/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.75/11.97 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X2,X0)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.97 | ~ class_Int_Onumber(X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.97 inference(copy,[status(esa)],[c_3856]) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_18400,plain,
% 11.75/11.97 ( ~ class_Int_Onumber(X0)
% 11.75/11.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0)
% 11.75/11.97 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.97 inference(rewriting,[status(thm)],[c_18399]) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_3848,plain,
% 11.75/11.97 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 11.75/11.97 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.75/11.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X0,X2)
% 11.75/11.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.75/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6886_5) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_18383,plain,
% 11.75/11.97 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 11.75/11.97 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.75/11.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X0,X2)
% 11.75/11.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.75/11.97 inference(copy,[status(esa)],[c_3848]) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_18384,plain,
% 11.75/11.97 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.75/11.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 11.75/11.97 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 11.75/11.97 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.97 inference(rewriting,[status(thm)],[c_18383]) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_3842,plain,
% 11.75/11.97 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 11.75/11.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X1,X3)
% 11.75/11.97 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X3)
% 11.75/11.97 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 11.75/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6887_5) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_18371,plain,
% 11.75/11.97 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 11.75/11.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X1,X3)
% 11.75/11.97 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X3)
% 11.75/11.97 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 11.75/11.97 inference(copy,[status(esa)],[c_3842]) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_18372,plain,
% 11.75/11.97 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 11.75/11.97 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.97 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.75/11.97 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.97 inference(rewriting,[status(thm)],[c_18371]) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_3836,plain,
% 11.75/11.97 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X1,X3)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X3)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 11.75/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6888_5) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_18359,plain,
% 11.75/11.97 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X1,X3)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X3)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 11.75/11.97 inference(copy,[status(esa)],[c_3836]) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_18360,plain,
% 11.75/11.97 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.75/11.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.97 inference(rewriting,[status(thm)],[c_18359]) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_3830,plain,
% 11.75/11.97 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X1,X3)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X3)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 11.75/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6889_5) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_18347,plain,
% 11.75/11.97 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X1,X3)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X3)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 11.75/11.97 inference(copy,[status(esa)],[c_3830]) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_18348,plain,
% 11.75/11.97 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.75/11.97 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.97 inference(rewriting,[status(thm)],[c_18347]) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_3824,plain,
% 11.75/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X0,X2)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.75/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6890_5) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_18335,plain,
% 11.75/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X0,X2)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.75/11.97 inference(copy,[status(esa)],[c_3824]) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_18336,plain,
% 11.75/11.97 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 11.75/11.97 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.97 inference(rewriting,[status(thm)],[c_18335]) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_3818,plain,
% 11.75/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X0,X2)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.75/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6891_5) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_18323,plain,
% 11.75/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X0,X2)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.75/11.97 inference(copy,[status(esa)],[c_3818]) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_18324,plain,
% 11.75/11.97 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 11.75/11.97 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.97 inference(rewriting,[status(thm)],[c_18323]) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_3812,plain,
% 11.75/11.97 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 11.75/11.97 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.75/11.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X0,X2)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.75/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6892_5) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_18311,plain,
% 11.75/11.97 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 11.75/11.97 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.75/11.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X0,X2)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.75/11.97 inference(copy,[status(esa)],[c_3812]) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_18312,plain,
% 11.75/11.97 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 11.75/11.97 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 11.75/11.97 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.75/11.97 inference(rewriting,[status(thm)],[c_18311]) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_3806,plain,
% 11.75/11.97 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 11.75/11.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X1,X3)
% 11.75/11.97 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X3)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 11.75/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6893_5) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_18299,plain,
% 11.75/11.97 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 11.75/11.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X1,X3)
% 11.75/11.97 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X3)
% 11.75/11.97 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
% 11.75/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 11.75/11.97 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 11.75/11.97 inference(copy,[status(esa)],[c_3806]) ).
% 11.75/11.97
% 11.75/11.97 cnf(c_18300,plain,
% 11.75/11.97 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 11.84/11.97 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.84/11.97 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_18299]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3789,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.97 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.84/11.97 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 11.84/11.97 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.97 | ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6899_6) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18265,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.97 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.84/11.97 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 11.84/11.97 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.97 | ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3789]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18266,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.97 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X3,X0)),X0)
% 11.84/11.97 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_18265]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3782,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.97 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 11.84/11.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X2,X0)
% 11.84/11.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.84/11.97 | ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6900_6) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18251,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.97 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 11.84/11.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X2,X0)
% 11.84/11.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.84/11.97 | ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3782]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18252,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 11.84/11.97 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X1,X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_18251]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3775,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.97 | ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6901_6) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18237,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.97 | ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3775]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18238,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_18237]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3768,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X2,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.84/11.97 | ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6902_6) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18223,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X2,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.84/11.97 | ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3768]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18224,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_18223]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3761,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.84/11.97 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X1)
% 11.84/11.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Int_Onumber__class_Onumber__of(X0,X1)),X3,X1)
% 11.84/11.97 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.84/11.97 | ~ class_Int_Onumber(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6903_6) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18209,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.84/11.97 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X1)
% 11.84/11.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Int_Onumber__class_Onumber__of(X0,X1)),X3,X1)
% 11.84/11.97 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.84/11.97 | ~ class_Int_Onumber(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3761]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18210,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 11.84/11.97 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.97 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_18209]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3754,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.84/11.97 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X3,X1)
% 11.84/11.97 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),c_Int_Onumber__class_Onumber__of(X0,X1)),X1)
% 11.84/11.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.84/11.97 | ~ class_Int_Onumber(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6904_6) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18195,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.84/11.97 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X3,X1)
% 11.84/11.97 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),c_Int_Onumber__class_Onumber__of(X0,X1)),X1)
% 11.84/11.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.84/11.97 | ~ class_Int_Onumber(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3754]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18196,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.97 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X1,X0)
% 11.84/11.97 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X3,X0)),X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_18195]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3747,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.84/11.97 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X3,X1)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),c_Int_Onumber__class_Onumber__of(X0,X1)),X1)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.84/11.97 | ~ class_Int_Onumber(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6905_6) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18181,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.84/11.97 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X3,X1)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),c_Int_Onumber__class_Onumber__of(X0,X1)),X1)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.84/11.97 | ~ class_Int_Onumber(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3747]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18182,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_18181]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3740,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.84/11.97 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X1)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Int_Onumber__class_Onumber__of(X0,X1)),X3,X1)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.84/11.97 | ~ class_Int_Onumber(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6906_6) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18167,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.84/11.97 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X0,X1),X1),X1)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Int_Onumber__class_Onumber__of(X0,X1)),X3,X1)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.84/11.97 | ~ class_Int_Onumber(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3740]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18168,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_18167]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3725,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.97 | c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 11.84/11.97 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.97 | ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6910_6) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18137,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.97 | c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 11.84/11.97 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.97 | ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3725]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18138,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 11.84/11.97 | c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_18137]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3718,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.97 | ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6911_6) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18123,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.97 | ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3718]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18124,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_18123]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3711,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.97 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0)
% 11.84/11.97 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.97 | ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6912_6) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18109,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.97 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0)
% 11.84/11.97 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.97 | ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3711]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18110,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 11.84/11.97 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_18109]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3704,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.97 | ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6913_6) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18095,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.97 | ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3704]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18096,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X2,X0)),X1),X3,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_18095]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3682,plain,
% 11.84/11.97 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 11.84/11.97 | ~ c_lessequals(X1,X3,X2)
% 11.84/11.97 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6921_5) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18051,plain,
% 11.84/11.97 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 11.84/11.97 | ~ c_lessequals(X1,X3,X2)
% 11.84/11.97 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3682]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18052,plain,
% 11.84/11.97 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 11.84/11.97 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.84/11.97 | ~ c_lessequals(X1,X3,X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_18051]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3676,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.84/11.97 | ~ class_Int_Onumber(X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6922_5) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18039,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.84/11.97 | ~ class_Int_Onumber(X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3676]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18040,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_18039]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3670,plain,
% 11.84/11.97 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 11.84/11.97 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.84/11.97 | ~ class_Int_Onumber(X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6923_5) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18027,plain,
% 11.84/11.97 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
% 11.84/11.97 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),c_Int_Onumber__class_Onumber__of(X3,X2)),X1),X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.84/11.97 | ~ class_Int_Onumber(X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3670]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18028,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.84/11.97 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X2),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_18027]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3664,plain,
% 11.84/11.97 ( c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 11.84/11.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X2,X1)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.84/11.97 | ~ class_Int_Onumber(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6924_5) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18015,plain,
% 11.84/11.97 ( c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 11.84/11.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X2,X1)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.84/11.97 | ~ class_Int_Onumber(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3664]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18016,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 11.84/11.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X2,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_18015]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3658,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X2,X1)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.84/11.97 | ~ class_Int_Onumber(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6925_5) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18003,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X0,X1)),X3),X2,X1)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.84/11.97 | ~ class_Int_Onumber(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3658]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_18004,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X2,X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_18003]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3653,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6926_4) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17993,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3653]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17994,plain,
% 11.84/11.97 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_17993]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3648,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6927_4) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17983,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3648]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17984,plain,
% 11.84/11.97 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_17983]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3643,plain,
% 11.84/11.97 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 11.84/11.97 | ~ c_lessequals(X3,X1,X2)
% 11.84/11.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6928_4) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17973,plain,
% 11.84/11.97 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X0,X3,X2),X2)
% 11.84/11.97 | ~ c_lessequals(X3,X1,X2)
% 11.84/11.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3643]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17974,plain,
% 11.84/11.97 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.97 | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X1,X3,X0),X0)
% 11.84/11.97 | ~ c_lessequals(X3,X2,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_17973]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3629,plain,
% 11.84/11.97 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Int_Onumber__class_Onumber__of(X3,X1)),X1)
% 11.84/11.97 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 11.84/11.97 | ~ class_Int_Onumber(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6932_5) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17945,plain,
% 11.84/11.97 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Int_Onumber__class_Onumber__of(X3,X1)),X1)
% 11.84/11.97 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 11.84/11.97 | ~ class_Int_Onumber(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3629]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17946,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 11.84/11.97 | c_lessequals(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X2,X0)),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_17945]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3623,plain,
% 11.84/11.97 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 11.84/11.97 | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 11.84/11.97 | ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6933_5) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17933,plain,
% 11.84/11.97 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 11.84/11.97 | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 11.84/11.97 | ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3623]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17934,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 11.84/11.97 | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_17933]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3617,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Int_Onumber__class_Onumber__of(X3,X1)),X1)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 11.84/11.97 | ~ class_Int_Onumber(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6934_5) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17921,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Int_Onumber__class_Onumber__of(X3,X1)),X1)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
% 11.84/11.97 | ~ class_Int_Onumber(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3617]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17922,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_17921]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3611,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 11.84/11.97 | ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6935_5) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17909,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 11.84/11.97 | ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3611]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17910,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_17909]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3605,plain,
% 11.84/11.97 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 11.84/11.97 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 11.84/11.97 | ~ class_Int_Onumber(X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6936_5) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17897,plain,
% 11.84/11.97 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 11.84/11.97 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 11.84/11.97 | ~ class_Int_Onumber(X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3605]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17898,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X3,X0)
% 11.84/11.97 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X2,X0)),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_17897]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3599,plain,
% 11.84/11.97 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 11.84/11.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X1,X3)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
% 11.84/11.97 | ~ class_Int_Onumber(X3)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6937_5) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17885,plain,
% 11.84/11.97 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 11.84/11.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X1,X3)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
% 11.84/11.97 | ~ class_Int_Onumber(X3)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3599]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17886,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0)),X3,X0)
% 11.84/11.97 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X0),X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_17885]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3593,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 11.84/11.97 | ~ class_Int_Onumber(X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6938_5) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17873,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2),X3,X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Int_Onumber__class_Onumber__of(X1,X2)),X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
% 11.84/11.97 | ~ class_Int_Onumber(X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3593]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17874,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X1,X0)),X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_17873]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3587,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X1,X3)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
% 11.84/11.97 | ~ class_Int_Onumber(X3)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6939_5) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17861,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),c_Int_Onumber__class_Onumber__of(X2,X3)),X1,X3)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
% 11.84/11.97 | ~ class_Int_Onumber(X3)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3587]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17862,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Int_Onumber__class_Onumber__of(X1,X0)),X3,X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_17861]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3578,plain,
% 11.84/11.97 ( c_HOL_Ominus__class_Ominus(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),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),c_HOL_Ominus__class_Ominus(X2,X3,X0))
% 11.84/11.97 | ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oring(X0) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6943_2) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17843,plain,
% 11.84/11.97 ( c_HOL_Ominus__class_Ominus(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),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),c_HOL_Ominus__class_Ominus(X2,X3,X0))
% 11.84/11.97 | ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oring(X0) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3578]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17844,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oring(X0)
% 11.84/11.97 | c_HOL_Ominus__class_Ominus(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),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),c_HOL_Ominus__class_Ominus(X2,X3,X0)) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_17843]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3572,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X2,X1)),X3),X1)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X3,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.84/11.97 | ~ class_Int_Onumber(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6944_5) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17831,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X2,X1)),X3),X1)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X3,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.84/11.97 | ~ class_Int_Onumber(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3572]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17832,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X1),X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_17831]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3566,plain,
% 11.84/11.97 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X2,X1)),X3),X1)
% 11.84/11.97 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X3,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.84/11.97 | ~ class_Int_Onumber(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6945_5) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17819,plain,
% 11.84/11.97 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X2,X1)),X3),X1)
% 11.84/11.97 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X3,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.84/11.97 | ~ class_Int_Onumber(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3566]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17820,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.84/11.97 | c_lessequals(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X2),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_17819]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3560,plain,
% 11.84/11.97 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 11.84/11.97 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.97 | ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6946_5) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17807,plain,
% 11.84/11.97 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 11.84/11.97 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.97 | ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3560]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17808,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 11.84/11.97 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X2,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_17807]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3554,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.97 | ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6947_5) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17795,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2),X3,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.97 | ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3554]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17796,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.84/11.97 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3),X2,X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_17795]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3552,plain,
% 11.84/11.97 ( ~ class_Divides_Oring__div(X0)
% 11.84/11.97 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 11.84/11.97 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X3,X0),X2,X0)
% 11.84/11.97 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6948_1) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17791,plain,
% 11.84/11.97 ( ~ class_Divides_Oring__div(X0)
% 11.84/11.97 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 11.84/11.97 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X3,X0),X2,X0)
% 11.84/11.97 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3552]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17792,plain,
% 11.84/11.97 ( ~ class_Divides_Oring__div(X0)
% 11.84/11.97 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 11.84/11.97 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 11.84/11.97 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_17791]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3547,plain,
% 11.84/11.97 ( c_HOL_Ominus__class_Ominus(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)),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X3,X0)),c_Int_Onumber__class_Onumber__of(X2,X0))
% 11.84/11.97 | ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oring(X0) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6949_2) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17781,plain,
% 11.84/11.97 ( c_HOL_Ominus__class_Ominus(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)),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X3,X0)),c_Int_Onumber__class_Onumber__of(X2,X0))
% 11.84/11.97 | ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oring(X0) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3547]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17782,plain,
% 11.84/11.97 ( ~ class_Int_Onumber(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oring(X0)
% 11.84/11.97 | c_HOL_Ominus__class_Ominus(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)),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X3,X0)),c_Int_Onumber__class_Onumber__of(X2,X0)) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_17781]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3543,plain,
% 11.84/11.97 ( X0 = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.84/11.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),X1,tc_nat)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),hAPP(c_Suc,X0)),tc_nat) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6950_3) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17773,plain,
% 11.84/11.97 ( X0 = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.84/11.97 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),X1,tc_nat)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),hAPP(c_Suc,X0)),tc_nat) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3543]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17774,plain,
% 11.84/11.97 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X2,tc_nat)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),hAPP(c_Suc,X1)),tc_nat)
% 11.84/11.97 | X1 = c_Divides_Odiv__class_Odiv(X2,X0,tc_nat) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_17773]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3541,plain,
% 11.84/11.97 ( ~ class_Divides_Osemiring__div(X0)
% 11.84/11.97 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 11.84/11.97 | 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)
% 11.84/11.97 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6951_1) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17769,plain,
% 11.84/11.97 ( ~ class_Divides_Osemiring__div(X0)
% 11.84/11.97 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 11.84/11.97 | 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)
% 11.84/11.97 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3541]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17770,plain,
% 11.84/11.97 ( ~ class_Divides_Osemiring__div(X0)
% 11.84/11.97 | 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)
% 11.84/11.97 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 11.84/11.97 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_17769]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3537,plain,
% 11.84/11.97 ( ~ class_Divides_Osemiring__div(X0)
% 11.84/11.97 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 11.84/11.97 | 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)
% 11.84/11.97 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6952_1) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17761,plain,
% 11.84/11.97 ( ~ class_Divides_Osemiring__div(X0)
% 11.84/11.97 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 11.84/11.97 | 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)
% 11.84/11.97 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3537]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17762,plain,
% 11.84/11.97 ( ~ class_Divides_Osemiring__div(X0)
% 11.84/11.97 | 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)
% 11.84/11.97 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 11.84/11.97 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_17761]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3531,plain,
% 11.84/11.97 ( 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)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6953_3) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17749,plain,
% 11.84/11.97 ( 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)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3531]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17750,plain,
% 11.84/11.97 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.97 | 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)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_17749]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3525,plain,
% 11.84/11.97 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.84/11.97 | 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)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6955_3) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17737,plain,
% 11.84/11.97 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.84/11.97 | 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)
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.97 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3525]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17738,plain,
% 11.84/11.97 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Ofield(X0)
% 11.84/11.97 | 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)
% 11.84/11.97 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_17737]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3522,plain,
% 11.84/11.97 ( 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))
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6956_2) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17731,plain,
% 11.84/11.97 ( 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))
% 11.84/11.97 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3522]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17732,plain,
% 11.84/11.97 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Ofield(X0)
% 11.84/11.97 | 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)) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_17731]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3516,plain,
% 11.84/11.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.84/11.97 | ~ c_lessequals(X1,X2,X0)
% 11.84/11.97 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 11.84/11.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.84/11.97 | ~ c_lessequals(X3,X4,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6958_3) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17719,plain,
% 11.84/11.97 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.84/11.97 | ~ c_lessequals(X1,X2,X0)
% 11.84/11.97 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 11.84/11.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.84/11.97 | ~ c_lessequals(X3,X4,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3516]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17720,plain,
% 11.84/11.97 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.97 | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X4,X0),X0)
% 11.84/11.97 | ~ c_lessequals(X4,X2,X0)
% 11.84/11.97 | ~ c_lessequals(X1,X3,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X4,X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_17719]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3514,plain,
% 11.84/11.97 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 11.84/11.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.84/11.97 | ~ c_lessequals(X0,X3,X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 11.84/11.97 | ~ c_lessequals(X4,X1,X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6958_5) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17715,plain,
% 11.84/11.97 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 11.84/11.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.84/11.97 | ~ c_lessequals(X0,X3,X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 11.84/11.97 | ~ c_lessequals(X4,X1,X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.97 inference(copy,[status(esa)],[c_3514]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17716,plain,
% 11.84/11.97 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.97 | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X4,X0),X0)
% 11.84/11.97 | ~ c_lessequals(X1,X3,X0)
% 11.84/11.97 | ~ c_lessequals(X4,X2,X0)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X4,X0)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.97 inference(rewriting,[status(thm)],[c_17715]) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_3508,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 11.84/11.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.84/11.97 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 11.84/11.97 | ~ c_lessequals(X4,X1,X2)
% 11.84/11.97 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.97 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6959_5) ).
% 11.84/11.97
% 11.84/11.97 cnf(c_17703,plain,
% 11.84/11.97 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 11.84/11.97 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 11.84/11.98 | ~ c_lessequals(X4,X1,X2)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3508]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17704,plain,
% 11.84/11.98 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_lessequals(X2,X3,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X0),c_HOL_Oinverse__class_Odivide(X4,X2,X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17703]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3505,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.84/11.98 | ~ c_lessequals(X3,X4,X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6960_2) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17697,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_HOL_Oinverse__class_Odivide(X4,X1,X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.84/11.98 | ~ c_lessequals(X3,X4,X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3505]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17698,plain,
% 11.84/11.98 ( ~ c_lessequals(X0,X1,X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X4,X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17697]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3502,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.84/11.98 | ~ c_lessequals(X0,X3,X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X4,X1,X2)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6960_5) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17691,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.84/11.98 | ~ c_lessequals(X0,X3,X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X4,X1,X2)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3502]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17692,plain,
% 11.84/11.98 ( ~ c_lessequals(X0,X1,X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X4,X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17691]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3498,plain,
% 11.84/11.98 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.84/11.98 | ~ c_lessequals(X1,X2,tc_nat)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.84/11.98 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6964_1) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17683,plain,
% 11.84/11.98 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.84/11.98 | ~ c_lessequals(X1,X2,tc_nat)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.84/11.98 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3498]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17684,plain,
% 11.84/11.98 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.84/11.98 | ~ c_lessequals(X0,X2,tc_nat)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17683]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3496,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.84/11.98 | ~ c_lessequals(X2,X0,tc_nat)
% 11.84/11.98 | ~ c_lessequals(X2,X1,tc_nat)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6964_3) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17679,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.84/11.98 | ~ c_lessequals(X2,X0,tc_nat)
% 11.84/11.98 | ~ c_lessequals(X2,X1,tc_nat)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3496]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17680,plain,
% 11.84/11.98 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.84/11.98 | ~ c_lessequals(X0,X2,tc_nat)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17679]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3486,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.84/11.98 | ~ c_lessequals(X2,X4,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6966_5) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17659,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.84/11.98 | ~ c_lessequals(X2,X4,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3486]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17660,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_lessequals(X2,X3,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17659]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3480,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.84/11.98 | ~ c_lessequals(X1,X3,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6967_5) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17647,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.84/11.98 | ~ c_lessequals(X1,X3,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3480]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17648,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_lessequals(X2,X3,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17647]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3478,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ c_lessequals(X1,X3,X0)
% 11.84/11.98 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0)
% 11.84/11.98 | ~ c_lessequals(X2,X4,X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6968_1) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17643,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ c_lessequals(X1,X3,X0)
% 11.84/11.98 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0)
% 11.84/11.98 | ~ c_lessequals(X2,X4,X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3478]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17644,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.84/11.98 | ~ c_lessequals(X1,X4,X0)
% 11.84/11.98 | ~ c_lessequals(X2,X3,X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17643]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3474,plain,
% 11.84/11.98 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.84/11.98 | ~ c_lessequals(X1,X3,X0)
% 11.84/11.98 | ~ c_lessequals(X2,X4,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6968_5) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17635,plain,
% 11.84/11.98 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.84/11.98 | ~ c_lessequals(X1,X3,X0)
% 11.84/11.98 | ~ c_lessequals(X2,X4,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3474]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17636,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.84/11.98 | ~ c_lessequals(X1,X3,X0)
% 11.84/11.98 | ~ c_lessequals(X2,X4,X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17635]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3472,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ c_lessequals(X1,X3,X0)
% 11.84/11.98 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0)
% 11.84/11.98 | ~ c_lessequals(X4,X2,X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6969_1) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17631,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ c_lessequals(X1,X3,X0)
% 11.84/11.98 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0)
% 11.84/11.98 | ~ c_lessequals(X4,X2,X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3472]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17632,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4),X0)
% 11.84/11.98 | ~ c_lessequals(X1,X4,X0)
% 11.84/11.98 | ~ c_lessequals(X3,X2,X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17631]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3468,plain,
% 11.84/11.98 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.84/11.98 | ~ c_lessequals(X1,X3,X0)
% 11.84/11.98 | ~ c_lessequals(X2,X4,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6969_5) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17623,plain,
% 11.84/11.98 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.84/11.98 | ~ c_lessequals(X1,X3,X0)
% 11.84/11.98 | ~ c_lessequals(X2,X4,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3468]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17624,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4),X0)
% 11.84/11.98 | ~ c_lessequals(X3,X1,X0)
% 11.84/11.98 | ~ c_lessequals(X2,X4,X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17623]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3466,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X4,X2,X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6970_1) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17619,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X4,X2,X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3466]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17620,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17619]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3460,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6971_1) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17607,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3460]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17608,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17607]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3456,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6971_5) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17599,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3456]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17600,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17599]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3427,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.84/11.98 | ~ class_Int_Onumber(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6983_6) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17541,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.84/11.98 | ~ class_Int_Onumber(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3427]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17542,plain,
% 11.84/11.98 ( ~ class_Int_Onumber(X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17541]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3420,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 11.84/11.98 | ~ class_Int_Onumber(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6984_6) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17527,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 11.84/11.98 | ~ class_Int_Onumber(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3420]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17528,plain,
% 11.84/11.98 ( ~ class_Int_Onumber(X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17527]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3413,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.84/11.98 | ~ class_Int_Onumber(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6985_6) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17513,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.84/11.98 | ~ class_Int_Onumber(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3413]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17514,plain,
% 11.84/11.98 ( ~ class_Int_Onumber(X0)
% 11.84/11.98 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17513]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3406,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 11.84/11.98 | ~ class_Int_Onumber(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6986_6) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17499,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 11.84/11.98 | ~ class_Int_Onumber(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3406]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17500,plain,
% 11.84/11.98 ( ~ class_Int_Onumber(X0)
% 11.84/11.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17499]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3390,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 11.84/11.98 | ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6993_5) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17467,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 11.84/11.98 | ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3390]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17468,plain,
% 11.84/11.98 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1)
% 11.84/11.98 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X0,X3,X1),X1)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17467]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3384,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6994_5) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17455,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3384]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17456,plain,
% 11.84/11.98 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17455]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3378,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6995_5) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17443,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3378]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17444,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17443]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3366,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.84/11.98 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6997_5) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17419,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.84/11.98 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3366]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17420,plain,
% 11.84/11.98 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1)
% 11.84/11.98 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X0,X3,X1),X1)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17419]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3360,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 11.84/11.98 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X2,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6998_5) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17407,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 11.84/11.98 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X2,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3360]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17408,plain,
% 11.84/11.98 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 11.84/11.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17407]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3357,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6999_2) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17401,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3357]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17402,plain,
% 11.84/11.98 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17401]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3354,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X0,X1),X1)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),X3,X1)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6999_5) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17395,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X0,X1),X1)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),X3,X1)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3354]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17396,plain,
% 11.84/11.98 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17395]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3348,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7000_5) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17383,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3348]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17384,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17383]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3342,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7001_5) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17371,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3342]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17372,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17371]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3336,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7002_5) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17359,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3336]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17360,plain,
% 11.84/11.98 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17359]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3333,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7003_2) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17353,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3333]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17354,plain,
% 11.84/11.98 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17353]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3330,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X2,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7003_5) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17347,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X2,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3330]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17348,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17347]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3324,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X2,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7004_5) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17335,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X2,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3324]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17336,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17335]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3318,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.84/11.98 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X0,X1),X1)
% 11.84/11.98 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),X3,X1)
% 11.84/11.98 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7005_5) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17323,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.84/11.98 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X0,X1),X1)
% 11.84/11.98 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),X3,X1)
% 11.84/11.98 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3318]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17324,plain,
% 11.84/11.98 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 11.84/11.98 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17323]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3312,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.84/11.98 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.84/11.98 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7006_5) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17311,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.84/11.98 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.84/11.98 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3312]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17312,plain,
% 11.84/11.98 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.84/11.98 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3),X1)
% 11.84/11.98 | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17311]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3306,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.84/11.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 11.84/11.98 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7007_5) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17299,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.84/11.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 11.84/11.98 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3306]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17300,plain,
% 11.84/11.98 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 11.84/11.98 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17299]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3300,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 11.84/11.98 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X2,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7008_5) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17287,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 11.84/11.98 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X2,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3300]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17288,plain,
% 11.84/11.98 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 11.84/11.98 | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17287]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3289,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.84/11.98 | ~ 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)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7011_3) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17265,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.84/11.98 | ~ 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)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3289]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17266,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ 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)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17265]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3277,plain,
% 11.84/11.98 ( c_lessequals(X0,X1,X2)
% 11.84/11.98 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7014_3) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17241,plain,
% 11.84/11.98 ( c_lessequals(X0,X1,X2)
% 11.84/11.98 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3277]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17242,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.84/11.98 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.84/11.98 | c_lessequals(X2,X3,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17241]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3273,plain,
% 11.84/11.98 ( c_lessequals(X0,X1,X2)
% 11.84/11.98 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7015_3) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17233,plain,
% 11.84/11.98 ( c_lessequals(X0,X1,X2)
% 11.84/11.98 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3273]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17234,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.84/11.98 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 11.84/11.98 | c_lessequals(X1,X3,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17233]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3245,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 11.84/11.98 | ~ 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)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7022_3) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17177,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 11.84/11.98 | ~ 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)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3245]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17178,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.84/11.98 | ~ 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)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17177]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3223,plain,
% 11.84/11.98 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.84/11.98 | ~ c_lessequals(X3,X2,tc_nat)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7035_4) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17133,plain,
% 11.84/11.98 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.84/11.98 | ~ c_lessequals(X3,X2,tc_nat)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3223]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17134,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.84/11.98 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.84/11.98 | ~ c_lessequals(X3,X2,tc_nat) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17133]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3218,plain,
% 11.84/11.98 ( 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)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7036_4) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17123,plain,
% 11.84/11.98 ( 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)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3218]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17124,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | 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)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17123]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3214,plain,
% 11.84/11.98 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.84/11.98 | 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))
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7037_3) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17115,plain,
% 11.84/11.98 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.84/11.98 | 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))
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3214]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17116,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Ofield(X0)
% 11.84/11.98 | 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))
% 11.84/11.98 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17115]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3211,plain,
% 11.84/11.98 ( 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)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7038_2) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17109,plain,
% 11.84/11.98 ( 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)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3211]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17110,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Ofield(X0)
% 11.84/11.98 | 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) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17109]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3206,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7039_4) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17099,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3206]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17100,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.84/11.98 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17099]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3199,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ 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)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7041_3) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17085,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ 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)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3199]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17086,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ 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)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17085]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3195,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ 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)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7042_3) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17077,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ 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)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3195]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17078,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ 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)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17077]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3157,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.84/11.98 | ~ 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)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7058_3) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17001,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.84/11.98 | ~ 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)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3157]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_17002,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ 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)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_17001]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3149,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.84/11.98 | ~ 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)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7060_3) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16985,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.84/11.98 | ~ 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)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3149]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16986,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ 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)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_16985]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3142,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.84/11.98 | ~ class_Int_Onumber(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7061_6) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16971,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.84/11.98 | ~ class_Int_Onumber(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3142]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16972,plain,
% 11.84/11.98 ( ~ class_Int_Onumber(X0)
% 11.84/11.98 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_16971]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3135,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.84/11.98 | ~ class_Int_Onumber(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7062_6) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16957,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.84/11.98 | ~ class_Int_Onumber(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3135]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16958,plain,
% 11.84/11.98 ( ~ class_Int_Onumber(X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_16957]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3128,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 11.84/11.98 | ~ class_Int_Onumber(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7063_6) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16943,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 11.84/11.98 | ~ class_Int_Onumber(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3128]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16944,plain,
% 11.84/11.98 ( ~ class_Int_Onumber(X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_16943]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3121,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 11.84/11.98 | ~ class_Int_Onumber(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7064_6) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16929,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 11.84/11.98 | ~ class_Int_Onumber(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3121]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16930,plain,
% 11.84/11.98 ( ~ class_Int_Onumber(X0)
% 11.84/11.98 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_16929]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3108,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7067_4) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16903,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3108]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16904,plain,
% 11.84/11.98 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_16903]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3103,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X3,X1),X2,X1)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7068_4) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16893,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X3,X1),X2,X1)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3103]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16894,plain,
% 11.84/11.98 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_16893]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3098,plain,
% 11.84/11.98 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X3,X1),X2,X1)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7069_4) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16883,plain,
% 11.84/11.98 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X3,X1),X2,X1)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3098]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16884,plain,
% 11.84/11.98 ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 11.84/11.98 | c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_16883]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3078,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X1,X3)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7076_4) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16843,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X1,X3)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3078]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16844,plain,
% 11.84/11.98 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_16843]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3073,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7077_4) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16833,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3073]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16834,plain,
% 11.84/11.98 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_16833]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3063,plain,
% 11.84/11.98 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 11.84/11.98 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X1,X3)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7079_4) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16813,plain,
% 11.84/11.98 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 11.84/11.98 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X1,X3)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3063]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16814,plain,
% 11.84/11.98 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 11.84/11.98 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_16813]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3058,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.84/11.98 | 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))
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | X1 = X2
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7081_1) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16803,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.84/11.98 | 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))
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | X1 = X2
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3058]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16804,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | 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_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 11.84/11.98 | X2 = X1 ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_16803]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3055,plain,
% 11.84/11.98 ( X0 = X1
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.84/11.98 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),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(X2),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7081_4) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16797,plain,
% 11.84/11.98 ( X0 = X1
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.84/11.98 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),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(X2),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3055]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16798,plain,
% 11.84/11.98 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.98 | 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))
% 11.84/11.98 | X1 = X2 ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_16797]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3053,plain,
% 11.84/11.98 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.84/11.98 | ~ c_lessequals(X2,X1,tc_nat)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 11.84/11.98 | ~ c_lessequals(X2,X0,tc_nat) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7082_1) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16793,plain,
% 11.84/11.98 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.84/11.98 | ~ c_lessequals(X2,X1,tc_nat)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 11.84/11.98 | ~ c_lessequals(X2,X0,tc_nat) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3053]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16794,plain,
% 11.84/11.98 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.84/11.98 | ~ c_lessequals(X0,X2,tc_nat)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_16793]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3051,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.84/11.98 | ~ c_lessequals(X1,X0,tc_nat)
% 11.84/11.98 | ~ c_lessequals(X1,X2,tc_nat)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7082_3) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16789,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.84/11.98 | ~ c_lessequals(X1,X0,tc_nat)
% 11.84/11.98 | ~ c_lessequals(X1,X2,tc_nat)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3051]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16790,plain,
% 11.84/11.98 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.84/11.98 | ~ c_lessequals(X0,X2,tc_nat)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_16789]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3043,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X1,X3)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7084_3) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16773,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X1,X3)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3043]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16774,plain,
% 11.84/11.98 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_16773]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3039,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7085_3) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16765,plain,
% 11.84/11.98 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3039]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16766,plain,
% 11.84/11.98 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.84/11.98 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.98 inference(rewriting,[status(thm)],[c_16765]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_3035,plain,
% 11.84/11.98 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.84/11.98 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.98 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7086_3) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16757,plain,
% 11.84/11.98 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.84/11.98 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.98 inference(copy,[status(esa)],[c_3035]) ).
% 11.84/11.98
% 11.84/11.98 cnf(c_16758,plain,
% 11.84/11.98 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 11.84/11.98 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.84/11.98 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.84/11.98 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.84/11.99 inference(rewriting,[status(thm)],[c_16757]) ).
% 11.84/11.99
% 11.84/11.99 cnf(c_3031,plain,
% 11.84/11.99 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 11.84/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 11.84/11.99 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X1,X3)
% 11.84/11.99 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 11.84/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7087_3) ).
% 11.84/11.99
% 11.84/11.99 cnf(c_16749,plain,
% 11.84/11.99 ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 11.84/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
% 11.84/11.99 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X0),X2),X1,X3)
% 11.84/11.99 | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 11.84/11.99 inference(copy,[status(esa)],[c_3031]) ).
% 11.84/11.99
% 11.84/11.99 cnf(c_16750,plain,
% 11.84/11.99 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 11.84/11.99 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 11.84/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.99 inference(rewriting,[status(thm)],[c_16749]) ).
% 11.84/11.99
% 11.84/11.99 cnf(c_3027,plain,
% 11.84/11.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.84/11.99 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X3),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat))
% 11.84/11.99 | ~ c_lessequals(X3,X2,tc_nat)
% 11.84/11.99 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.84/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7088_3) ).
% 11.84/11.99
% 11.84/11.99 cnf(c_16741,plain,
% 11.84/11.99 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.84/11.99 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X3),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat))
% 11.84/11.99 | ~ c_lessequals(X3,X2,tc_nat)
% 11.84/11.99 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.84/11.99 inference(copy,[status(esa)],[c_3027]) ).
% 11.84/11.99
% 11.84/11.99 cnf(c_16742,plain,
% 11.84/11.99 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.84/11.99 | ~ class_Ring__and__Field_Ofield(X2)
% 11.84/11.99 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat))
% 11.84/11.99 | X3 = c_HOL_Ozero__class_Ozero(X2) ),
% 11.84/11.99 inference(rewriting,[status(thm)],[c_16741]) ).
% 11.84/11.99
% 11.84/11.99 cnf(c_3021,plain,
% 11.84/11.99 ( c_lessequals(X0,X1,tc_nat)
% 11.84/11.99 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),tc_nat)
% 11.84/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 11.84/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7090_2) ).
% 11.84/11.99
% 11.84/11.99 cnf(c_16729,plain,
% 11.84/11.99 ( c_lessequals(X0,X1,tc_nat)
% 11.84/11.99 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),tc_nat)
% 11.84/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 11.84/11.99 inference(copy,[status(esa)],[c_3021]) ).
% 11.84/11.99
% 11.84/11.99 cnf(c_16730,plain,
% 11.84/11.99 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 11.84/11.99 | c_lessequals(X0,X2,tc_nat)
% 11.84/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.84/11.99 inference(rewriting,[status(thm)],[c_16729]) ).
% 11.84/11.99
% 11.84/11.99 cnf(c_2999,plain,
% 11.84/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.99 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.84/11.99 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.99 | ~ class_Int_Onumber(X0)
% 11.84/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7096_6) ).
% 11.84/11.99
% 11.84/11.99 cnf(c_16685,plain,
% 11.84/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.99 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.84/11.99 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.99 | ~ class_Int_Onumber(X0)
% 11.84/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.99 inference(copy,[status(esa)],[c_2999]) ).
% 11.84/11.99
% 11.84/11.99 cnf(c_16686,plain,
% 11.84/11.99 ( ~ class_Int_Onumber(X0)
% 11.84/11.99 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.99 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.84/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.99 inference(rewriting,[status(thm)],[c_16685]) ).
% 11.84/11.99
% 11.84/11.99 cnf(c_2992,plain,
% 11.84/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.99 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.99 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 11.84/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.84/11.99 | ~ class_Int_Onumber(X0)
% 11.84/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7097_6) ).
% 11.84/11.99
% 11.84/11.99 cnf(c_16671,plain,
% 11.84/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.99 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.99 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 11.84/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.84/11.99 | ~ class_Int_Onumber(X0)
% 11.84/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.99 inference(copy,[status(esa)],[c_2992]) ).
% 11.84/11.99
% 11.84/11.99 cnf(c_16672,plain,
% 11.84/11.99 ( ~ class_Int_Onumber(X0)
% 11.84/11.99 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.84/11.99 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X2,X0)
% 11.84/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.99 inference(rewriting,[status(thm)],[c_16671]) ).
% 11.84/11.99
% 11.84/11.99 cnf(c_2985,plain,
% 11.84/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.99 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.99 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.84/11.99 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.99 | ~ class_Int_Onumber(X0)
% 11.84/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7098_6) ).
% 11.84/11.99
% 11.84/11.99 cnf(c_16657,plain,
% 11.84/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.84/11.99 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.99 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X0)
% 11.84/11.99 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.84/11.99 | ~ class_Int_Onumber(X0)
% 11.84/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.84/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.84/11.99 inference(copy,[status(esa)],[c_2985]) ).
% 11.84/11.99
% 11.84/11.99 cnf(c_16658,plain,
% 11.84/11.99 ( ~ class_Int_Onumber(X0)
% 11.86/11.99 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16657]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2978,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.86/11.99 | ~ class_Int_Onumber(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7099_6) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16643,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0),X3,X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.86/11.99 | ~ class_Int_Onumber(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2978]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16644,plain,
% 11.86/11.99 ( ~ class_Int_Onumber(X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X0),X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16643]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2973,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ 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)
% 11.86/11.99 | ~ class_Int_Onumber__ring(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7100_4) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16633,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ 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)
% 11.86/11.99 | ~ class_Int_Onumber__ring(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2973]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16634,plain,
% 11.86/11.99 ( ~ class_Int_Onumber__ring(X0)
% 11.86/11.99 | ~ 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)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16633]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2966,plain,
% 11.86/11.99 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.86/11.99 | ~ c_lessequals(X1,X2,X0)
% 11.86/11.99 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 11.86/11.99 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7104_0) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16619,plain,
% 11.86/11.99 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.86/11.99 | ~ c_lessequals(X1,X2,X0)
% 11.86/11.99 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 11.86/11.99 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2966]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16620,plain,
% 11.86/11.99 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.86/11.99 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 11.86/11.99 | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4),X0)
% 11.86/11.99 | ~ c_lessequals(X3,X4,X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16619]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2955,plain,
% 11.86/11.99 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)
% 11.86/11.99 | ~ c_lessequals(X1,X0,tc_nat)
% 11.86/11.99 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7109_2) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16597,plain,
% 11.86/11.99 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)
% 11.86/11.99 | ~ c_lessequals(X1,X0,tc_nat)
% 11.86/11.99 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2955]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16598,plain,
% 11.86/11.99 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.86/11.99 | ~ c_lessequals(X0,X2,tc_nat)
% 11.86/11.99 | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16597]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2946,plain,
% 11.86/11.99 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.86/11.99 | ~ c_lessequals(X1,X2,tc_nat)
% 11.86/11.99 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7113_2) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16579,plain,
% 11.86/11.99 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.86/11.99 | ~ c_lessequals(X1,X2,tc_nat)
% 11.86/11.99 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2946]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16580,plain,
% 11.86/11.99 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.86/11.99 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.86/11.99 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16579]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2924,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.86/11.99 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ class_Int_Onumber(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7119_6) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16535,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.86/11.99 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ class_Int_Onumber(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2924]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16536,plain,
% 11.86/11.99 ( ~ class_Int_Onumber(X0)
% 11.86/11.99 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16535]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2917,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ class_Int_Onumber(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7120_6) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16521,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ class_Int_Onumber(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2917]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16522,plain,
% 11.86/11.99 ( ~ class_Int_Onumber(X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16521]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2910,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.86/11.99 | ~ class_Int_Onumber(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7121_6) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16507,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.86/11.99 | ~ class_Int_Onumber(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2910]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16508,plain,
% 11.86/11.99 ( ~ class_Int_Onumber(X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16507]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2903,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.86/11.99 | ~ class_Int_Onumber(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7122_6) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16493,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X3,X0),X0)
% 11.86/11.99 | ~ class_Int_Onumber(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2903]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16494,plain,
% 11.86/11.99 ( ~ class_Int_Onumber(X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.86/11.99 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16493]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2900,plain,
% 11.86/11.99 ( 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)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7123_2) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16487,plain,
% 11.86/11.99 ( 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)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2900]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16488,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/11.99 | 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) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16487]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2892,plain,
% 11.86/11.99 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 11.86/11.99 | ~ c_lessequals(X3,X0,X2)
% 11.86/11.99 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7125_4) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16471,plain,
% 11.86/11.99 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 11.86/11.99 | ~ c_lessequals(X3,X0,X2)
% 11.86/11.99 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2892]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16472,plain,
% 11.86/11.99 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 11.86/11.99 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/11.99 | ~ c_lessequals(X3,X0,X2)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16471]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2887,plain,
% 11.86/11.99 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 11.86/11.99 | ~ c_lessequals(X0,X3,X2)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7126_4) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16461,plain,
% 11.86/11.99 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 11.86/11.99 | ~ c_lessequals(X0,X3,X2)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2887]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16462,plain,
% 11.86/11.99 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.86/11.99 | ~ c_lessequals(X2,X3,X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16461]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2877,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7130_3) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16441,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2877]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16442,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16441]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2873,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7131_3) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16433,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2873]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16434,plain,
% 11.86/11.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16433]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2869,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/11.99 | ~ 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)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7132_3) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16425,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/11.99 | ~ 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)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2869]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16426,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ 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)
% 11.86/11.99 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16425]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2867,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.86/11.99 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.86/11.99 | X1 = X3
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7133_1) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16421,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.86/11.99 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.86/11.99 | X1 = X3
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2867]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16422,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 11.86/11.99 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 11.86/11.99 | X2 = X1 ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16421]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2863,plain,
% 11.86/11.99 ( X0 = X1
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 11.86/11.99 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),X3) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X3)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7133_5) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16413,plain,
% 11.86/11.99 ( X0 = X1
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 11.86/11.99 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),X3) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X3)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2863]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16414,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 11.86/11.99 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3)
% 11.86/11.99 | X1 = X2 ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16413]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2861,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.86/11.99 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X2,X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7135_1) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16409,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.86/11.99 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X2,X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2861]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16410,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X2,X0)
% 11.86/11.99 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16409]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2858,plain,
% 11.86/11.99 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7135_4) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16403,plain,
% 11.86/11.99 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2858]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16404,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0)
% 11.86/11.99 | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16403]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2856,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.86/11.99 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7136_1) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16399,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.86/11.99 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2856]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16400,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0)
% 11.86/11.99 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16399]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2853,plain,
% 11.86/11.99 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7136_4) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16393,plain,
% 11.86/11.99 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2853]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16394,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X1,X0)
% 11.86/11.99 | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16393]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2847,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7137_5) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16381,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2847]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16382,plain,
% 11.86/11.99 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16381]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2841,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7138_5) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16369,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2841]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16370,plain,
% 11.86/11.99 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/11.99 | ~ c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16369]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2839,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7139_1) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16365,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2839]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16366,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16365]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2833,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7140_1) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16353,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2833]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16354,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16353]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2829,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7140_5) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16345,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2829]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16346,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16345]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2807,plain,
% 11.86/11.99 ( 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)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7146_3) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16301,plain,
% 11.86/11.99 ( 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)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2807]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16302,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | 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)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16301]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2791,plain,
% 11.86/11.99 ( 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)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7150_3) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16269,plain,
% 11.86/11.99 ( 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)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2791]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16270,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | 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)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16269]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2779,plain,
% 11.86/11.99 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ c_lessequals(X3,X2,X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7153_3) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16245,plain,
% 11.86/11.99 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ c_lessequals(X3,X2,X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2779]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16246,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.86/11.99 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.86/11.99 | ~ c_lessequals(X3,X2,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16245]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2775,plain,
% 11.86/11.99 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ c_lessequals(X2,X3,X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7154_3) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16237,plain,
% 11.86/11.99 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ c_lessequals(X2,X3,X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2775]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16238,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.86/11.99 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.86/11.99 | ~ c_lessequals(X2,X3,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16237]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2767,plain,
% 11.86/11.99 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 11.86/11.99 | ~ c_lessequals(X3,X1,X0)
% 11.86/11.99 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7156_3) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16221,plain,
% 11.86/11.99 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 11.86/11.99 | ~ c_lessequals(X3,X1,X0)
% 11.86/11.99 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2767]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16222,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 11.86/11.99 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 11.86/11.99 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ c_lessequals(X3,X1,X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16221]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2763,plain,
% 11.86/11.99 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.86/11.99 | ~ c_lessequals(X3,X2,X0)
% 11.86/11.99 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7157_3) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16213,plain,
% 11.86/11.99 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.86/11.99 | ~ c_lessequals(X3,X2,X0)
% 11.86/11.99 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2763]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16214,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 11.86/11.99 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.86/11.99 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ c_lessequals(X3,X2,X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16213]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2746,plain,
% 11.86/11.99 ( c_Int_Onumber__class_Onumber__of(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/11.99 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.86/11.99 | ~ 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)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7161_4) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16179,plain,
% 11.86/11.99 ( c_Int_Onumber__class_Onumber__of(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/11.99 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.86/11.99 | ~ 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)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2746]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16180,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.86/11.99 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 11.86/11.99 | ~ 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)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16179]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2728,plain,
% 11.86/11.99 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.86/11.99 | ~ c_lessequals(X2,X3,tc_nat)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7166_3) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16143,plain,
% 11.86/11.99 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.86/11.99 | ~ c_lessequals(X2,X3,tc_nat)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2728]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16144,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.86/11.99 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.86/11.99 | ~ c_lessequals(X2,X3,tc_nat)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16143]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2724,plain,
% 11.86/11.99 ( c_Int_Onumber__class_Onumber__of(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/11.99 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat)
% 11.86/11.99 | ~ 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)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7167_3) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16135,plain,
% 11.86/11.99 ( c_Int_Onumber__class_Onumber__of(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/11.99 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat)
% 11.86/11.99 | ~ 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)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2724]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16136,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.86/11.99 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 11.86/11.99 | ~ 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)
% 11.86/11.99 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16135]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2710,plain,
% 11.86/11.99 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.86/11.99 | 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)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7173_1) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16107,plain,
% 11.86/11.99 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.86/11.99 | 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)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2710]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16108,plain,
% 11.86/11.99 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 11.86/11.99 | 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)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16107]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2704,plain,
% 11.86/11.99 ( 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)
% 11.86/11.99 | ~ c_lessequals(X1,X3,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 11.86/11.99 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7174_3) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16095,plain,
% 11.86/11.99 ( 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)
% 11.86/11.99 | ~ c_lessequals(X1,X3,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 11.86/11.99 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2704]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16096,plain,
% 11.86/11.99 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 11.86/11.99 | ~ c_lessequals(X1,X2,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4),X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16095]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2698,plain,
% 11.86/11.99 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 11.86/11.99 | ~ c_lessequals(X1,X2,X0)
% 11.86/11.99 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 11.86/11.99 | ~ c_lessequals(X3,X4,X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7176_1) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16083,plain,
% 11.86/11.99 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 11.86/11.99 | ~ c_lessequals(X1,X2,X0)
% 11.86/11.99 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 11.86/11.99 | ~ c_lessequals(X3,X4,X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2698]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16084,plain,
% 11.86/11.99 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 11.86/11.99 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 11.86/11.99 | ~ c_lessequals(X2,X4,X0)
% 11.86/11.99 | ~ c_lessequals(X1,X3,X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16083]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2694,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.86/11.99 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),hAPP(c_Suc,X2))
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.86/11.99 | X1 = X3
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7177_1) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16075,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.86/11.99 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),hAPP(c_Suc,X2))
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.86/11.99 | X1 = X3
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2694]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16076,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),hAPP(c_Suc,X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X3))
% 11.86/11.99 | X2 = X1 ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16075]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2691,plain,
% 11.86/11.99 ( X0 = X1
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.86/11.99 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),hAPP(c_Suc,X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),hAPP(c_Suc,X3))
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7177_4) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16069,plain,
% 11.86/11.99 ( X0 = X1
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.86/11.99 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),hAPP(c_Suc,X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),hAPP(c_Suc,X3))
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2691]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16070,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),hAPP(c_Suc,X3))
% 11.86/11.99 | X1 = X2 ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16069]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2688,plain,
% 11.86/11.99 ( 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)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7178_2) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16063,plain,
% 11.86/11.99 ( 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)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2688]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16064,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/11.99 | 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) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16063]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2674,plain,
% 11.86/11.99 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.86/11.99 | 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
% 11.86/11.99 | ~ class_Int_Onumber(X1)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/11.99 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7182_4) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16035,plain,
% 11.86/11.99 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.86/11.99 | 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
% 11.86/11.99 | ~ class_Int_Onumber(X1)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/11.99 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2674]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16036,plain,
% 11.86/11.99 ( ~ class_Int_Onumber(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/11.99 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.86/11.99 | 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 ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16035]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2668,plain,
% 11.86/11.99 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),c_Divides_Odiv__class_Odiv(X0,X2,tc_nat),tc_nat)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.86/11.99 | ~ c_lessequals(X2,X1,tc_nat) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7184_2) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16023,plain,
% 11.86/11.99 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),c_Divides_Odiv__class_Odiv(X0,X2,tc_nat),tc_nat)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.86/11.99 | ~ c_lessequals(X2,X1,tc_nat) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2668]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16024,plain,
% 11.86/11.99 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),c_Divides_Odiv__class_Odiv(X0,X2,tc_nat),tc_nat)
% 11.86/11.99 | ~ c_lessequals(X2,X1,tc_nat)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16023]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2664,plain,
% 11.86/11.99 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/11.99 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 11.86/11.99 | ~ c_lessequals(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)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7185_3) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16015,plain,
% 11.86/11.99 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/11.99 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 11.86/11.99 | ~ c_lessequals(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)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2664]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16016,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.86/11.99 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 11.86/11.99 | ~ c_lessequals(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)
% 11.86/11.99 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16015]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2660,plain,
% 11.86/11.99 ( c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat)
% 11.86/11.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.86/11.99 | ~ c_lessequals(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)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7186_3) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16007,plain,
% 11.86/11.99 ( c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat)
% 11.86/11.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.86/11.99 | ~ c_lessequals(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)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2660]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16008,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.86/11.99 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 11.86/11.99 | ~ c_lessequals(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)
% 11.86/11.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16007]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2658,plain,
% 11.86/11.99 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.86/11.99 | 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)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7187_1) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16003,plain,
% 11.86/11.99 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.86/11.99 | 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)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2658]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_16004,plain,
% 11.86/11.99 ( 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)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_16003]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2655,plain,
% 11.86/11.99 ( ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.86/11.99 | c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 11.86/11.99 | ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7188_1) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15997,plain,
% 11.86/11.99 ( ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.86/11.99 | c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 11.86/11.99 | ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2655]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15998,plain,
% 11.86/11.99 ( c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.86/11.99 | ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 11.86/11.99 | ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_15997]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2650,plain,
% 11.86/11.99 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7190_1) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15987,plain,
% 11.86/11.99 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2650]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15988,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_15987]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2624,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7203_1) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15935,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2624]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15936,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_15935]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2622,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7203_3) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15931,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2622]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15932,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_15931]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2620,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7204_1) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15927,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2620]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15928,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_15927]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2618,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7204_3) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15923,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2618]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15924,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_15923]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2578,plain,
% 11.86/11.99 ( 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)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7224_3) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15843,plain,
% 11.86/11.99 ( 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)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2578]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15844,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | 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)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_15843]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2549,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7235_2) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15785,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2549]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15786,plain,
% 11.86/11.99 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_15785]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2546,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7236_2) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15779,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2546]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15780,plain,
% 11.86/11.99 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_15779]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2540,plain,
% 11.86/11.99 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.86/11.99 | 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)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7238_1) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15767,plain,
% 11.86/11.99 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.86/11.99 | 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)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2540]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15768,plain,
% 11.86/11.99 ( 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)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_15767]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2537,plain,
% 11.86/11.99 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.86/11.99 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1),tc_nat)
% 11.86/11.99 | ~ c_lessequals(X2,X3,tc_nat) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7239_1) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15761,plain,
% 11.86/11.99 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.86/11.99 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1),tc_nat)
% 11.86/11.99 | ~ c_lessequals(X2,X3,tc_nat) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2537]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15762,plain,
% 11.86/11.99 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3),tc_nat)
% 11.86/11.99 | ~ c_lessequals(X1,X3,tc_nat)
% 11.86/11.99 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_15761]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2534,plain,
% 11.86/11.99 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.86/11.99 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat)
% 11.86/11.99 | ~ c_lessequals(X2,X3,tc_nat) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7240_1) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15755,plain,
% 11.86/11.99 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.86/11.99 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat)
% 11.86/11.99 | ~ c_lessequals(X2,X3,tc_nat) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2534]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15756,plain,
% 11.86/11.99 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 11.86/11.99 | ~ c_lessequals(X1,X3,tc_nat)
% 11.86/11.99 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_15755]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2528,plain,
% 11.86/11.99 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/11.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7241_4) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15743,plain,
% 11.86/11.99 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/11.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2528]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15744,plain,
% 11.86/11.99 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_15743]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2527,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7242_0) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15741,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2527]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15742,plain,
% 11.86/11.99 ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/11.99 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/11.99 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_15741]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2523,plain,
% 11.86/11.99 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/11.99 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7242_4) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15733,plain,
% 11.86/11.99 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/11.99 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2523]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15734,plain,
% 11.86/11.99 ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/11.99 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/11.99 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_15733]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2522,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7243_0) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15731,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2522]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15732,plain,
% 11.86/11.99 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_15731]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2513,plain,
% 11.86/11.99 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7244_4) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15713,plain,
% 11.86/11.99 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2513]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15714,plain,
% 11.86/11.99 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_15713]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2508,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7245_4) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15703,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2508]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15704,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_15703]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2507,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7246_0) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15701,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2507]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15702,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_15701]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2502,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7247_0) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15691,plain,
% 11.86/11.99 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2502]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15692,plain,
% 11.86/11.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_15691]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2498,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7247_4) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15683,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2498]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15684,plain,
% 11.86/11.99 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_15683]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2493,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7248_4) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15673,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/11.99 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2493]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15674,plain,
% 11.86/11.99 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_15673]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2488,plain,
% 11.86/11.99 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7249_4) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15663,plain,
% 11.86/11.99 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2488]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15664,plain,
% 11.86/11.99 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.86/11.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_15663]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2483,plain,
% 11.86/11.99 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7250_4) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15653,plain,
% 11.86/11.99 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(copy,[status(esa)],[c_2483]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_15654,plain,
% 11.86/11.99 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.86/11.99 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/11.99 inference(rewriting,[status(thm)],[c_15653]) ).
% 11.86/11.99
% 11.86/11.99 cnf(c_2478,plain,
% 11.86/11.99 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/11.99 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/11.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.86/11.99 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7251_4) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15643,plain,
% 11.86/12.00 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2478]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15644,plain,
% 11.86/12.00 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15643]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2473,plain,
% 11.86/12.00 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7252_4) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15633,plain,
% 11.86/12.00 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2473]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15634,plain,
% 11.86/12.00 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15633]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2468,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7253_4) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15623,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2468]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15624,plain,
% 11.86/12.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15623]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2463,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7254_4) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15613,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2463]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15614,plain,
% 11.86/12.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15613]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2458,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7255_4) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15603,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2458]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15604,plain,
% 11.86/12.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15603]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2453,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7256_4) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15593,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2453]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15594,plain,
% 11.86/12.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15593]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2440,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7259_5) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15567,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2440]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15568,plain,
% 11.86/12.00 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15567]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2434,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.86/12.00 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7260_5) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15555,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.86/12.00 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2434]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15556,plain,
% 11.86/12.00 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.00 | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15555]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2431,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7261_2) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15549,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2431]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15550,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15549]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2428,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7261_5) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15543,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2428]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15544,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15543]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2425,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7262_2) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15537,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2425]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15538,plain,
% 11.86/12.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15537]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2422,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7262_5) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15531,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),X3,X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2422]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15532,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15531]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2404,plain,
% 11.86/12.00 ( 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)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ class_Int_Onumber__ring(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7269_4) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15495,plain,
% 11.86/12.00 ( 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)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ class_Int_Onumber__ring(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2404]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15496,plain,
% 11.86/12.00 ( ~ class_Int_Onumber__ring(X0)
% 11.86/12.00 | 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)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15495]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2384,plain,
% 11.86/12.00 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 11.86/12.00 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7274_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15455,plain,
% 11.86/12.00 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 11.86/12.00 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2384]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15456,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15455]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2379,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.86/12.00 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7276_0) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15445,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.86/12.00 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2379]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15446,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15445]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2372,plain,
% 11.86/12.00 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7277_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15431,plain,
% 11.86/12.00 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2372]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15432,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15431]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2350,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7290_4) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15387,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2350]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15388,plain,
% 11.86/12.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15387]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2345,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7291_4) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15377,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2345]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15378,plain,
% 11.86/12.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15377]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2343,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.86/12.00 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7292_1) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15373,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.86/12.00 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2343]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15374,plain,
% 11.86/12.00 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.86/12.00 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15373]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2338,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7293_1) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15363,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2338]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15364,plain,
% 11.86/12.00 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15363]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2333,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7294_1) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15353,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2333]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15354,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15353]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2328,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7295_1) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15343,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2328]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15344,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15343]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2320,plain,
% 11.86/12.00 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.86/12.00 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7296_4) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15327,plain,
% 11.86/12.00 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.86/12.00 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2320]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15328,plain,
% 11.86/12.00 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15327]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2315,plain,
% 11.86/12.00 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7297_4) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15317,plain,
% 11.86/12.00 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2315]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15318,plain,
% 11.86/12.00 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15317]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2311,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/12.00 | ~ 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)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7298_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15309,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/12.00 | ~ 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)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2311]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15310,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ 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)
% 11.86/12.00 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15309]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2305,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7302_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15297,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2305]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15298,plain,
% 11.86/12.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15297]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2301,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7303_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15289,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2301]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15290,plain,
% 11.86/12.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15289]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2291,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7306_1) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15269,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2291]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15270,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15269]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2287,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7307_1) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15261,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2287]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15262,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15261]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2277,plain,
% 11.86/12.00 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7309_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15241,plain,
% 11.86/12.00 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2277]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15242,plain,
% 11.86/12.00 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15241]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2269,plain,
% 11.86/12.00 ( c_lessequals(X0,X1,X2)
% 11.86/12.00 | ~ c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X0),X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7311_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15225,plain,
% 11.86/12.00 ( c_lessequals(X0,X1,X2)
% 11.86/12.00 | ~ c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X0),X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2269]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15226,plain,
% 11.86/12.00 ( ~ c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 11.86/12.00 | c_lessequals(X2,X1,X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15225]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2265,plain,
% 11.86/12.00 ( c_lessequals(X0,X1,X2)
% 11.86/12.00 | ~ c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X0),X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7312_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15217,plain,
% 11.86/12.00 ( c_lessequals(X0,X1,X2)
% 11.86/12.00 | ~ c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X0),X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2265]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15218,plain,
% 11.86/12.00 ( ~ c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 11.86/12.00 | c_lessequals(X2,X1,X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15217]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2261,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X0),X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7313_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15209,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X0),X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2261]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15210,plain,
% 11.86/12.00 ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15209]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2257,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X0),X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7314_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15201,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X0),X2)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2257]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15202,plain,
% 11.86/12.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15201]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2247,plain,
% 11.86/12.00 ( c_Int_Onumber__class_Onumber__of(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/12.00 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat)
% 11.86/12.00 | c_lessequals(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)
% 11.86/12.00 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7317_4) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15181,plain,
% 11.86/12.00 ( c_Int_Onumber__class_Onumber__of(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/12.00 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat)
% 11.86/12.00 | c_lessequals(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)
% 11.86/12.00 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2247]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15182,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.86/12.00 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 11.86/12.00 | c_lessequals(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)
% 11.86/12.00 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15181]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2245,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.86/12.00 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7320_1) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15177,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.86/12.00 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2245]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15178,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.86/12.00 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15177]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2241,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7321_1) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15169,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2241]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15170,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15169]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2237,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7322_1) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15161,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2237]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15162,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15161]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2233,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7323_1) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15153,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2233]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15154,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15153]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2223,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7325_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15133,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2223]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15134,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15133]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2203,plain,
% 11.86/12.00 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7330_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15093,plain,
% 11.86/12.00 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2203]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15094,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15093]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2195,plain,
% 11.86/12.00 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7332_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15077,plain,
% 11.86/12.00 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2195]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15078,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15077]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2193,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7333_1) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15073,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2193]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15074,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15073]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2189,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7334_1) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15065,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2189]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15066,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15065]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2185,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.86/12.00 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.86/12.00 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7335_1) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15057,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.86/12.00 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.86/12.00 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2185]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15058,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.86/12.00 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15057]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2181,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7336_1) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15049,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2181]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15050,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15049]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2173,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 11.86/12.00 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.86/12.00 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7338_1) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15033,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 11.86/12.00 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.86/12.00 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2173]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15034,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.86/12.00 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15033]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2169,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7339_1) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15025,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2169]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15026,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15025]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2159,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7341_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15005,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2159]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_15006,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_15005]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2153,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7343_1) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14993,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2153]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14994,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14993]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2149,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7344_1) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14985,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2149]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14986,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14985]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2139,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7346_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14965,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2139]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14966,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.86/12.00 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14965]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2132,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ 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)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7349_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14951,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ 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)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2132]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14952,plain,
% 11.86/12.00 ( ~ 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)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14951]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2128,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.00 | ~ 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)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7350_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14943,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.00 | ~ 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)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2128]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14944,plain,
% 11.86/12.00 ( ~ 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)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14943]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2124,plain,
% 11.86/12.00 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7351_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14935,plain,
% 11.86/12.00 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2124]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14936,plain,
% 11.86/12.00 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14935]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2120,plain,
% 11.86/12.00 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7352_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14927,plain,
% 11.86/12.00 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2120]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14928,plain,
% 11.86/12.00 ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14927]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2103,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 11.86/12.00 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 11.86/12.00 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7356_4) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14893,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 11.86/12.00 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 11.86/12.00 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2103]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14894,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.86/12.00 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14893]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2098,plain,
% 11.86/12.00 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.86/12.00 | ~ c_lessequals(X0,X3,X1)
% 11.86/12.00 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 11.86/12.00 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7357_4) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14883,plain,
% 11.86/12.00 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.86/12.00 | ~ c_lessequals(X0,X3,X1)
% 11.86/12.00 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 11.86/12.00 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2098]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14884,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.86/12.00 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.86/12.00 | ~ c_lessequals(X2,X3,X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14883]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2093,plain,
% 11.86/12.00 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.86/12.00 | ~ c_lessequals(X0,X2,X1)
% 11.86/12.00 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 11.86/12.00 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7358_4) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14873,plain,
% 11.86/12.00 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.86/12.00 | ~ c_lessequals(X0,X2,X1)
% 11.86/12.00 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 11.86/12.00 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2093]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14874,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.86/12.00 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),X0)
% 11.86/12.00 | ~ c_lessequals(X2,X3,X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14873]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2043,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7374_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14773,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2043]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14774,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14773]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2025,plain,
% 11.86/12.00 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/12.00 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X0),X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7381_4) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14737,plain,
% 11.86/12.00 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/12.00 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X0),X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2025]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14738,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.86/12.00 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14737]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_2003,plain,
% 11.86/12.00 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7389_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14693,plain,
% 11.86/12.00 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_2003]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14694,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.86/12.00 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0)
% 11.86/12.00 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14693]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_1999,plain,
% 11.86/12.00 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.00 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 11.86/12.00 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7390_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14685,plain,
% 11.86/12.00 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.00 | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 11.86/12.00 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_1999]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14686,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.86/12.00 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.86/12.00 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14685]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_1997,plain,
% 11.86/12.00 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 11.86/12.00 | ~ c_lessequals(X1,X2,tc_nat)
% 11.86/12.00 | X0 = X2
% 11.86/12.00 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7391_1) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14681,plain,
% 11.86/12.00 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 11.86/12.00 | ~ c_lessequals(X1,X2,tc_nat)
% 11.86/12.00 | X0 = X2
% 11.86/12.00 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_1997]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14682,plain,
% 11.86/12.00 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.86/12.00 | ~ c_lessequals(X0,X2,tc_nat)
% 11.86/12.00 | c_HOL_Ominus__class_Ominus(X2,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)
% 11.86/12.00 | X2 = X1 ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14681]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_1995,plain,
% 11.86/12.00 ( X0 = X1
% 11.86/12.00 | ~ c_lessequals(X2,X0,tc_nat)
% 11.86/12.00 | ~ c_lessequals(X2,X1,tc_nat)
% 11.86/12.00 | c_HOL_Ominus__class_Ominus(X0,X2,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7391_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14677,plain,
% 11.86/12.00 ( X0 = X1
% 11.86/12.00 | ~ c_lessequals(X2,X0,tc_nat)
% 11.86/12.00 | ~ c_lessequals(X2,X1,tc_nat)
% 11.86/12.00 | c_HOL_Ominus__class_Ominus(X0,X2,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_1995]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14678,plain,
% 11.86/12.00 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.86/12.00 | ~ c_lessequals(X0,X2,tc_nat)
% 11.86/12.00 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X0,tc_nat)
% 11.86/12.00 | X1 = X2 ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14677]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_1992,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7392_2) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14671,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_1992]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14672,plain,
% 11.86/12.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X1,tc_nat) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14671]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_1985,plain,
% 11.86/12.00 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.00 | 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)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7394_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14657,plain,
% 11.86/12.00 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.00 | 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)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_1985]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14658,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.00 | 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)
% 11.86/12.00 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14657]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_1981,plain,
% 11.86/12.00 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.00 | 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)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7395_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14649,plain,
% 11.86/12.00 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.00 | 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)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_1981]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14650,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.00 | 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)
% 11.86/12.00 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14649]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_1973,plain,
% 11.86/12.00 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/12.00 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.86/12.00 | ~ 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)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7397_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14633,plain,
% 11.86/12.00 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/12.00 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.86/12.00 | ~ 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)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_1973]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14634,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.86/12.00 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.86/12.00 | ~ 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)
% 11.86/12.00 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14633]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_1949,plain,
% 11.86/12.00 ( 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)
% 11.86/12.00 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.00 | ~ class_Int_Onumber(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7404_4) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14585,plain,
% 11.86/12.00 ( 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)
% 11.86/12.00 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.00 | ~ class_Int_Onumber(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_1949]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14586,plain,
% 11.86/12.00 ( ~ class_Int_Onumber(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.00 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.00 | 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) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14585]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_1929,plain,
% 11.86/12.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.86/12.00 | 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)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7411_1) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14545,plain,
% 11.86/12.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.86/12.00 | 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)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_1929]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14546,plain,
% 11.86/12.00 ( 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)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14545]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_1916,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7415_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14519,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_1916]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14520,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14519]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_1912,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7416_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14511,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_1912]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14512,plain,
% 11.86/12.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14511]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_1911,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.86/12.00 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 11.86/12.00 | ~ c_lessequals(X2,X1,X0)
% 11.86/12.00 | c_lessequals(X4,X3,X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7417_0) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14509,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.86/12.00 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 11.86/12.00 | ~ c_lessequals(X2,X1,X0)
% 11.86/12.00 | c_lessequals(X4,X3,X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_1911]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14510,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.86/12.00 | ~ c_lessequals(X1,X2,X0)
% 11.86/12.00 | c_lessequals(X3,X4,X0)
% 11.86/12.00 | c_HOL_Ominus__class_Ominus(X2,X1,X0) != c_HOL_Ominus__class_Ominus(X4,X3,X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14509]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_1907,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.86/12.00 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 11.86/12.00 | ~ c_lessequals(X4,X3,X0)
% 11.86/12.00 | c_lessequals(X2,X1,X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7418_0) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14501,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.86/12.00 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 11.86/12.00 | ~ c_lessequals(X4,X3,X0)
% 11.86/12.00 | c_lessequals(X2,X1,X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_1907]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14502,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.86/12.00 | ~ c_lessequals(X1,X2,X0)
% 11.86/12.00 | c_lessequals(X3,X4,X0)
% 11.86/12.00 | c_HOL_Ominus__class_Ominus(X4,X3,X0) != c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14501]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_1903,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.86/12.00 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7419_0) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14493,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.86/12.00 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_1903]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14494,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X3,X4,X0)
% 11.86/12.00 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14493]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_1899,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.86/12.00 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7420_0) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14485,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.86/12.00 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_1899]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14486,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(X3,X4,X0)
% 11.86/12.00 | c_HOL_Ominus__class_Ominus(X3,X4,X0) != c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14485]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_1831,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7450_4) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14349,plain,
% 11.86/12.00 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_1831]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14350,plain,
% 11.86/12.00 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14349]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_1826,plain,
% 11.86/12.00 ( c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7451_4) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14339,plain,
% 11.86/12.00 ( c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_1826]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14340,plain,
% 11.86/12.00 ( c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 11.86/12.00 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.86/12.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14339]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_1817,plain,
% 11.86/12.00 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2))
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7455_2) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14321,plain,
% 11.86/12.00 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2))
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_1817]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14322,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.00 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14321]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_1813,plain,
% 11.86/12.00 ( 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)
% 11.86/12.00 | ~ class_Int_Onumber__ring(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7456_3) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14313,plain,
% 11.86/12.00 ( 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)
% 11.86/12.00 | ~ class_Int_Onumber__ring(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_1813]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14314,plain,
% 11.86/12.00 ( ~ class_Int_Onumber__ring(X0)
% 11.86/12.00 | 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)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14313]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_1800,plain,
% 11.86/12.00 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.00 | 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)
% 11.86/12.00 | ~ class_Int_Onumber(X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7459_4) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14287,plain,
% 11.86/12.00 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.00 | 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)
% 11.86/12.00 | ~ class_Int_Onumber(X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_1800]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14288,plain,
% 11.86/12.00 ( ~ class_Int_Onumber(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.00 | 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)
% 11.86/12.00 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14287]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_1789,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.00 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 11.86/12.00 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.00 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)
% 11.86/12.00 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7466_1) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14265,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.00 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 11.86/12.00 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.00 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)
% 11.86/12.00 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_1789]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14266,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.00 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 11.86/12.00 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 11.86/12.00 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.00 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14265]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_1786,plain,
% 11.86/12.00 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 11.86/12.00 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.00 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.00 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7466_4) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14259,plain,
% 11.86/12.00 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 11.86/12.00 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.00 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.00 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 11.86/12.00 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_1786]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14260,plain,
% 11.86/12.00 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.00 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 11.86/12.00 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 11.86/12.00 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.00 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14259]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_1782,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.86/12.00 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7468_1) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14251,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.86/12.00 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_1782]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14252,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.00 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14251]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_1779,plain,
% 11.86/12.00 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.86/12.00 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.00 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7468_4) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14245,plain,
% 11.86/12.00 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.86/12.00 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.00 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_1779]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14246,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.00 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14245]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_1777,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.86/12.00 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7469_1) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14241,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.86/12.00 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_1777]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14242,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.00 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14241]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_1774,plain,
% 11.86/12.00 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 11.86/12.00 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.00 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7469_4) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14235,plain,
% 11.86/12.00 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 11.86/12.00 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.00 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_1774]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14236,plain,
% 11.86/12.00 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.86/12.00 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.00 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.00 inference(rewriting,[status(thm)],[c_14235]) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_1760,plain,
% 11.86/12.00 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.00 | c_lessequals(c_HOL_Oone__class_Oone(X1),X0,X1)
% 11.86/12.00 | ~ c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0),c_HOL_Oone__class_Oone(X1),X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/12.00 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7472_4) ).
% 11.86/12.00
% 11.86/12.00 cnf(c_14207,plain,
% 11.86/12.00 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.00 | c_lessequals(c_HOL_Oone__class_Oone(X1),X0,X1)
% 11.86/12.00 | ~ c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0),c_HOL_Oone__class_Oone(X1),X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.00 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/12.00 inference(copy,[status(esa)],[c_1760]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_14208,plain,
% 11.86/12.01 ( c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.86/12.01 | ~ c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Oone__class_Oone(X0),X0)
% 11.86/12.01 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_14207]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1754,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.01 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 11.86/12.01 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.01 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 11.86/12.01 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7476_1) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_14195,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.01 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 11.86/12.01 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.01 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 11.86/12.01 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1754]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_14196,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.01 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 11.86/12.01 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 11.86/12.01 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.01 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_14195]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1717,plain,
% 11.86/12.01 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Oinverse__class_Odivide(X2,X0,X1)),X0) = X2
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7486_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_14121,plain,
% 11.86/12.01 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Oinverse__class_Odivide(X2,X0,X1)),X0) = X2
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1717]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_14122,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.01 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)),X2) = X1
% 11.86/12.01 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_14121]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1705,plain,
% 11.86/12.01 ( 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)
% 11.86/12.01 | ~ class_Int_Onumber(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7492_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_14097,plain,
% 11.86/12.01 ( 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)
% 11.86/12.01 | ~ class_Int_Onumber(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1705]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_14098,plain,
% 11.86/12.01 ( ~ class_Int_Onumber(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.01 | 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) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_14097]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1697,plain,
% 11.86/12.01 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/12.01 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.86/12.01 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.01 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7494_4) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_14081,plain,
% 11.86/12.01 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/12.01 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.86/12.01 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.01 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1697]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_14082,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.86/12.01 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.86/12.01 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.01 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.01 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_14081]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1694,plain,
% 11.86/12.01 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7496_0) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_14075,plain,
% 11.86/12.01 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1694]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_14076,plain,
% 11.86/12.01 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 11.86/12.01 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_14075]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1654,plain,
% 11.86/12.01 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | 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
% 11.86/12.01 | ~ class_Int_Onumber(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7507_4) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13995,plain,
% 11.86/12.01 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | 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
% 11.86/12.01 | ~ class_Int_Onumber(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1654]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13996,plain,
% 11.86/12.01 ( ~ class_Int_Onumber(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.01 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.01 | 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 ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13995]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1641,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(c_Fact_Ofact__class_Ofact(X0,tc_nat),c_Fact_Ofact__class_Ofact(X1,tc_nat),tc_nat)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7513_2) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13969,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(c_Fact_Ofact__class_Ofact(X0,tc_nat),c_Fact_Ofact__class_Ofact(X1,tc_nat),tc_nat)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1641]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13970,plain,
% 11.86/12.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.86/12.01 | c_HOL_Oord__class_Oless(c_Fact_Ofact__class_Ofact(X0,tc_nat),c_Fact_Ofact__class_Ofact(X1,tc_nat),tc_nat)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13969]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1632,plain,
% 11.86/12.01 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.86/12.01 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.86/12.01 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7516_2) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13951,plain,
% 11.86/12.01 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.86/12.01 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.86/12.01 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1632]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13952,plain,
% 11.86/12.01 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 11.86/12.01 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.86/12.01 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13951]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1631,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.86/12.01 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.86/12.01 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 11.86/12.01 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7516_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13949,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.86/12.01 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.86/12.01 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 11.86/12.01 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1631]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13950,plain,
% 11.86/12.01 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 11.86/12.01 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.86/12.01 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13949]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1628,plain,
% 11.86/12.01 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 11.86/12.01 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.86/12.01 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7517_2) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13943,plain,
% 11.86/12.01 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 11.86/12.01 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.86/12.01 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1628]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13944,plain,
% 11.86/12.01 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 11.86/12.01 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.86/12.01 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13943]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1627,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.86/12.01 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.86/12.01 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 11.86/12.01 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7517_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13941,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.86/12.01 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.86/12.01 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 11.86/12.01 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1627]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13942,plain,
% 11.86/12.01 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 11.86/12.01 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.86/12.01 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13941]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1623,plain,
% 11.86/12.01 ( X0 = X1
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 11.86/12.01 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7518_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13933,plain,
% 11.86/12.01 ( X0 = X1
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 11.86/12.01 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1623]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13934,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.86/12.01 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 11.86/12.01 | X2 = X3 ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13933]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1587,plain,
% 11.86/12.01 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),X2) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7531_2) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13861,plain,
% 11.86/12.01 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),X2) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1587]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13862,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.86/12.01 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),X2) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13861]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1528,plain,
% 11.86/12.01 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.86/12.01 | c_HOL_Oord__class_Oless(hAPP(c_Suc,X2),X1,tc_nat)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7560_1) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13743,plain,
% 11.86/12.01 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.86/12.01 | c_HOL_Oord__class_Oless(hAPP(c_Suc,X2),X1,tc_nat)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1528]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13744,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13743]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1512,plain,
% 11.86/12.01 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X2,X1)),X0) = X3
% 11.86/12.01 | c_Int_Onumber__class_Onumber__of(X2,X1) != c_HOL_Oinverse__class_Odivide(X3,X0,X1)
% 11.86/12.01 | ~ class_Int_Onumber(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7566_5) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13711,plain,
% 11.86/12.01 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X2,X1)),X0) = X3
% 11.86/12.01 | c_Int_Onumber__class_Onumber__of(X2,X1) != c_HOL_Oinverse__class_Odivide(X3,X0,X1)
% 11.86/12.01 | ~ class_Int_Onumber(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1512]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13712,plain,
% 11.86/12.01 ( ~ class_Int_Onumber(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.01 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Oinverse__class_Odivide(X2,X3,X0)
% 11.86/12.01 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3) = X2
% 11.86/12.01 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13711]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1506,plain,
% 11.86/12.01 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | X2 = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X3,X1)),X0)
% 11.86/12.01 | c_HOL_Oinverse__class_Odivide(X2,X0,X1) != c_Int_Onumber__class_Onumber__of(X3,X1)
% 11.86/12.01 | ~ class_Int_Onumber(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7567_5) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13699,plain,
% 11.86/12.01 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | X2 = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Int_Onumber__class_Onumber__of(X3,X1)),X0)
% 11.86/12.01 | c_HOL_Oinverse__class_Odivide(X2,X0,X1) != c_Int_Onumber__class_Onumber__of(X3,X1)
% 11.86/12.01 | ~ class_Int_Onumber(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1506]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13700,plain,
% 11.86/12.01 ( ~ class_Int_Onumber(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.01 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_Int_Onumber__class_Onumber__of(X3,X0)
% 11.86/12.01 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.01 | X1 = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X3,X0)),X2) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13699]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1498,plain,
% 11.86/12.01 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0)) = c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0),X1,X0)
% 11.86/12.01 | ~ class_Int_Onumber__ring(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7571_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13683,plain,
% 11.86/12.01 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0)) = c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0),X1,X0)
% 11.86/12.01 | ~ class_Int_Onumber__ring(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1498]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13684,plain,
% 11.86/12.01 ( ~ class_Int_Onumber__ring(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.01 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0)) = c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0),X1,X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13683]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1487,plain,
% 11.86/12.01 ( X0 = X1
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.86/12.01 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7576_2) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13661,plain,
% 11.86/12.01 ( X0 = X1
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.86/12.01 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1487]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13662,plain,
% 11.86/12.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.86/12.01 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)
% 11.86/12.01 | X1 = X2 ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13661]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1471,plain,
% 11.86/12.01 ( ~ class_Orderings_Oorder(X0)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.86/12.01 | ~ c_lessequals(X2,X3,X0) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7582_1) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13629,plain,
% 11.86/12.01 ( ~ class_Orderings_Oorder(X0)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.86/12.01 | ~ c_lessequals(X2,X3,X0) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1471]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13630,plain,
% 11.86/12.01 ( ~ class_Orderings_Oorder(X0)
% 11.86/12.01 | ~ c_lessequals(X1,X2,X0)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13629]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1469,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.86/12.01 | ~ c_lessequals(X3,X1,X2)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.86/12.01 | ~ class_Orderings_Oorder(X2) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7582_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13625,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.86/12.01 | ~ c_lessequals(X3,X1,X2)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.86/12.01 | ~ class_Orderings_Oorder(X2) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1469]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13626,plain,
% 11.86/12.01 ( ~ class_Orderings_Oorder(X0)
% 11.86/12.01 | ~ c_lessequals(X1,X2,X0)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13625]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1459,plain,
% 11.86/12.01 ( ~ class_Orderings_Opreorder(X0)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.86/12.01 | ~ c_lessequals(X3,X1,X0) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7585_1) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13605,plain,
% 11.86/12.01 ( ~ class_Orderings_Opreorder(X0)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.86/12.01 | ~ c_lessequals(X3,X1,X0) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1459]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13606,plain,
% 11.86/12.01 ( ~ class_Orderings_Opreorder(X0)
% 11.86/12.01 | ~ c_lessequals(X1,X2,X0)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13605]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1457,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.86/12.01 | ~ c_lessequals(X0,X3,X2)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.86/12.01 | ~ class_Orderings_Opreorder(X2) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7585_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13601,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.86/12.01 | ~ c_lessequals(X0,X3,X2)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.86/12.01 | ~ class_Orderings_Opreorder(X2) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1457]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13602,plain,
% 11.86/12.01 ( ~ class_Orderings_Opreorder(X0)
% 11.86/12.01 | ~ c_lessequals(X1,X2,X0)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13601]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1446,plain,
% 11.86/12.01 ( c_HOL_Oinverse__class_Odivide(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Oinverse__class_Odivide(X0,X2,X1))
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7588_2) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13579,plain,
% 11.86/12.01 ( c_HOL_Oinverse__class_Odivide(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Oinverse__class_Odivide(X0,X2,X1))
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1446]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13580,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.01 | c_HOL_Oinverse__class_Odivide(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13579]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1432,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7593_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13551,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1432]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13552,plain,
% 11.86/12.01 ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13551]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1428,plain,
% 11.86/12.01 ( c_lessequals(X0,c_HOL_Oone__class_Oone(X1),X1)
% 11.86/12.01 | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0),X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7594_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13543,plain,
% 11.86/12.01 ( c_lessequals(X0,c_HOL_Oone__class_Oone(X1),X1)
% 11.86/12.01 | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0),X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1428]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13544,plain,
% 11.86/12.01 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 11.86/12.01 | c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13543]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1424,plain,
% 11.86/12.01 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7595_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13535,plain,
% 11.86/12.01 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1424]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13536,plain,
% 11.86/12.01 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 11.86/12.01 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13535]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1420,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7596_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13527,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1420]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13528,plain,
% 11.86/12.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 11.86/12.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13527]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1416,plain,
% 11.86/12.01 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.01 | ~ c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7597_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13519,plain,
% 11.86/12.01 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.01 | ~ c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1416]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13520,plain,
% 11.86/12.01 ( ~ c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.01 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13519]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1412,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.01 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7598_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13511,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.01 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1412]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13512,plain,
% 11.86/12.01 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 11.86/12.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13511]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1408,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X1),X1)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0),X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7599_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13503,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X1),X1)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0),X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1408]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13504,plain,
% 11.86/12.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13503]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1400,plain,
% 11.86/12.01 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0),X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7601_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13487,plain,
% 11.86/12.01 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0),X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1400]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13488,plain,
% 11.86/12.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 11.86/12.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/12.01 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13487]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1396,plain,
% 11.86/12.01 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7602_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13479,plain,
% 11.86/12.01 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1396]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13480,plain,
% 11.86/12.01 ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X0)
% 11.86/12.01 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13479]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1393,plain,
% 11.86/12.01 ( c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7603_2) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13473,plain,
% 11.86/12.01 ( c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1393]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13474,plain,
% 11.86/12.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 11.86/12.01 | c_Divides_Odiv__class_Odiv(X1,X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13473]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1294,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Oone__class_Oone(X0),X0)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7647_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13275,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Oone__class_Oone(X0),X0)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1294]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13276,plain,
% 11.86/12.01 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.86/12.01 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Oone__class_Oone(X0),X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13275]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1286,plain,
% 11.86/12.01 ( c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Oone__class_Oone(X0),X0)
% 11.86/12.01 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7649_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13259,plain,
% 11.86/12.01 ( c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Oone__class_Oone(X0),X0)
% 11.86/12.01 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1286]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13260,plain,
% 11.86/12.01 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.86/12.01 | c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Oone__class_Oone(X0),X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13259]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1266,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Oone__class_Oone(X0),X0)
% 11.86/12.01 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7654_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13219,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Oone__class_Oone(X0),X0)
% 11.86/12.01 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1266]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13220,plain,
% 11.86/12.01 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.01 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0),c_HOL_Oone__class_Oone(X1),X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13219]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1254,plain,
% 11.86/12.01 ( X0 = X1
% 11.86/12.01 | ~ c_lessequals(X1,X0,tc_nat)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7659_2) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13195,plain,
% 11.86/12.01 ( X0 = X1
% 11.86/12.01 | ~ c_lessequals(X1,X0,tc_nat)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1254]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13196,plain,
% 11.86/12.01 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_Suc,X0),tc_nat)
% 11.86/12.01 | X1 = X0 ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13195]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1244,plain,
% 11.86/12.01 ( c_lessequals(X0,X1,X2)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.86/12.01 | ~ c_lessequals(X1,X0,X2)
% 11.86/12.01 | ~ class_Orderings_Opreorder(X2) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7664_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13175,plain,
% 11.86/12.01 ( c_lessequals(X0,X1,X2)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.86/12.01 | ~ c_lessequals(X1,X0,X2)
% 11.86/12.01 | ~ class_Orderings_Opreorder(X2) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1244]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13176,plain,
% 11.86/12.01 ( ~ class_Orderings_Opreorder(X0)
% 11.86/12.01 | c_lessequals(X1,X2,X0)
% 11.86/12.01 | ~ c_lessequals(X2,X1,X0)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13175]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1218,plain,
% 11.86/12.01 ( 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)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7673_2) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13123,plain,
% 11.86/12.01 ( 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)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1218]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13124,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.01 | 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) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13123]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1215,plain,
% 11.86/12.01 ( c_HOL_Oinverse__class_Odivide(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7674_2) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13117,plain,
% 11.86/12.01 ( c_HOL_Oinverse__class_Odivide(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1215]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13118,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.01 | c_HOL_Oinverse__class_Odivide(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13117]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1208,plain,
% 11.86/12.01 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.86/12.01 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 11.86/12.01 | ~ class_OrderedGroup_Omonoid__mult(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7676_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13103,plain,
% 11.86/12.01 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.86/12.01 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 11.86/12.01 | ~ class_OrderedGroup_Omonoid__mult(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1208]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13104,plain,
% 11.86/12.01 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.86/12.01 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.86/12.01 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13103]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1183,plain,
% 11.86/12.01 ( hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)) = c_HOL_Oinverse__class_Odivide(X2,X1,X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7684_2) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13053,plain,
% 11.86/12.01 ( hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)) = c_HOL_Oinverse__class_Odivide(X2,X1,X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1183]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13054,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.01 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13053]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1159,plain,
% 11.86/12.01 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.86/12.01 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 11.86/12.01 | X2 = X1 ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7694_1) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13005,plain,
% 11.86/12.01 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.86/12.01 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 11.86/12.01 | X2 = X1 ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1159]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13006,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 11.86/12.01 | hBOOL(hAPP(hAPP(X2,X0),X1))
% 11.86/12.01 | X1 = X0 ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13005]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1157,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.86/12.01 | X0 = X1
% 11.86/12.01 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 11.86/12.01 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7694_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13001,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.86/12.01 | X0 = X1
% 11.86/12.01 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 11.86/12.01 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1157]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_13002,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 11.86/12.01 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 11.86/12.01 | X0 = X1 ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_13001]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1124,plain,
% 11.86/12.01 ( X0 = X1
% 11.86/12.01 | ~ c_SEQ_OLIMSEQ(X2,X0,X3)
% 11.86/12.01 | ~ c_SEQ_OLIMSEQ(X2,X1,X3)
% 11.86/12.01 | ~ class_RealVector_Ometric__space(X3) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7707_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12935,plain,
% 11.86/12.01 ( X0 = X1
% 11.86/12.01 | ~ c_SEQ_OLIMSEQ(X2,X0,X3)
% 11.86/12.01 | ~ c_SEQ_OLIMSEQ(X2,X1,X3)
% 11.86/12.01 | ~ class_RealVector_Ometric__space(X3) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1124]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12936,plain,
% 11.86/12.01 ( ~ class_RealVector_Ometric__space(X0)
% 11.86/12.01 | ~ c_SEQ_OLIMSEQ(X1,X2,X0)
% 11.86/12.01 | ~ c_SEQ_OLIMSEQ(X1,X3,X0)
% 11.86/12.01 | X2 = X3 ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_12935]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1061,plain,
% 11.86/12.01 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)) != c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.01 | c_Int_Onumber__class_Onumber__of(X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/12.01 | ~ class_Power_Opower(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Omult__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7727_5) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12809,plain,
% 11.86/12.01 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)) != c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.01 | c_Int_Onumber__class_Onumber__of(X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/12.01 | ~ class_Power_Opower(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Omult__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1061]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12810,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Omult__zero(X0)
% 11.86/12.01 | ~ class_Power_Opower(X0)
% 11.86/12.01 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/12.01 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) != c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_12809]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1058,plain,
% 11.86/12.01 ( X0 = X1
% 11.86/12.01 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/12.01 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7728_2) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12803,plain,
% 11.86/12.01 ( X0 = X1
% 11.86/12.01 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/12.01 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1058]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12804,plain,
% 11.86/12.01 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/12.01 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/12.01 | X0 = X1 ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_12803]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1039,plain,
% 11.86/12.01 ( hAPP(c_Suc,X0) = X1
% 11.86/12.01 | c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7736_2) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12765,plain,
% 11.86/12.01 ( hAPP(c_Suc,X0) = X1
% 11.86/12.01 | c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1039]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12766,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 11.86/12.01 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.86/12.01 | hAPP(c_Suc,X0) = X1 ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_12765]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_1001,plain,
% 11.86/12.01 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7752_2) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12689,plain,
% 11.86/12.01 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_1001]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12690,plain,
% 11.86/12.01 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X0 = X1 ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_12689]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_964,plain,
% 11.86/12.01 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Int_Onumber__class_Onumber__of(X2,tc_nat)) != c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | ~ class_Power_Opower(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Omult__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7769_5) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12615,plain,
% 11.86/12.01 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Int_Onumber__class_Onumber__of(X2,tc_nat)) != c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | ~ class_Power_Opower(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Omult__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_964]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12616,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Omult__zero(X0)
% 11.86/12.01 | ~ class_Power_Opower(X0)
% 11.86/12.01 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(X2,tc_nat)) != c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.01 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_12615]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_962,plain,
% 11.86/12.01 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.86/12.01 | c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 11.86/12.01 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7770_1) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12611,plain,
% 11.86/12.01 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.86/12.01 | c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 11.86/12.01 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_962]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12612,plain,
% 11.86/12.01 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 11.86/12.01 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.86/12.01 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_12611]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_956,plain,
% 11.86/12.01 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.01 | ~ class_Int_Onumber(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7771_4) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12599,plain,
% 11.86/12.01 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.01 | ~ class_Int_Onumber(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_956]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12600,plain,
% 11.86/12.01 ( ~ class_Int_Onumber(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.01 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.01 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_12599]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_951,plain,
% 11.86/12.01 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1) != c_Int_Onumber__class_Onumber__of(X0,X1)
% 11.86/12.01 | ~ class_Int_Onumber(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7772_4) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12589,plain,
% 11.86/12.01 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1) != c_Int_Onumber__class_Onumber__of(X0,X1)
% 11.86/12.01 | ~ class_Int_Onumber(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_951]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12590,plain,
% 11.86/12.01 ( ~ class_Int_Onumber(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.01 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.01 | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) != c_Int_Onumber__class_Onumber__of(X1,X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_12589]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_881,plain,
% 11.86/12.01 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_Int_Onumber__class_Onumber__of(X1,X0))
% 11.86/12.01 | ~ class_Int_Onumber(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7802_2) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12449,plain,
% 11.86/12.01 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_Int_Onumber__class_Onumber__of(X1,X0))
% 11.86/12.01 | ~ class_Int_Onumber(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_881]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12450,plain,
% 11.86/12.01 ( ~ class_Int_Onumber(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.01 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_Int_Onumber__class_Onumber__of(X1,X0)) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_12449]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_867,plain,
% 11.86/12.01 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.86/12.01 | c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 11.86/12.01 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7811_1) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12421,plain,
% 11.86/12.01 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.86/12.01 | c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 11.86/12.01 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_867]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12422,plain,
% 11.86/12.01 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 11.86/12.01 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.86/12.01 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_12421]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_826,plain,
% 11.86/12.01 ( c_Int_Onumber__class_Onumber__of(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/12.01 | 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)
% 11.86/12.01 | ~ class_Power_Opower(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Omult__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7832_5) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12339,plain,
% 11.86/12.01 ( c_Int_Onumber__class_Onumber__of(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/12.01 | 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)
% 11.86/12.01 | ~ class_Power_Opower(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Omult__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_826]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12340,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Omult__zero(X0)
% 11.86/12.01 | ~ class_Power_Opower(X0)
% 11.86/12.01 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/12.01 | 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) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_12339]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_816,plain,
% 11.86/12.01 ( c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_HOL_Ozero__class_Ozero(X2)
% 11.86/12.01 | c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 11.86/12.01 | ~ class_Int_Onumber(X2)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X2) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7834_4) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12319,plain,
% 11.86/12.01 ( c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_HOL_Ozero__class_Ozero(X2)
% 11.86/12.01 | c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 11.86/12.01 | ~ class_Int_Onumber(X2)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X2) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_816]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12320,plain,
% 11.86/12.01 ( ~ class_Int_Onumber(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.01 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.01 | c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_12319]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_811,plain,
% 11.86/12.01 ( hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1))
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7836_2) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12309,plain,
% 11.86/12.01 ( hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1))
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_811]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12310,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.86/12.01 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_12309]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_762,plain,
% 11.86/12.01 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.01 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | ~ class_Int_Onumber(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7855_4) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12211,plain,
% 11.86/12.01 ( c_Int_Onumber__class_Onumber__of(X0,X1) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.86/12.01 | c_Int_Onumber__class_Onumber__of(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | ~ class_Int_Onumber(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_762]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12212,plain,
% 11.86/12.01 ( ~ class_Int_Onumber(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.01 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.01 | c_Int_Onumber__class_Onumber__of(X1,X0) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_12211]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_757,plain,
% 11.86/12.01 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_Int_Onumber__class_Onumber__of(X2,X1)
% 11.86/12.01 | c_Int_Onumber__class_Onumber__of(X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | ~ class_Int_Onumber(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7856_4) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12201,plain,
% 11.86/12.01 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_Int_Onumber__class_Onumber__of(X2,X1)
% 11.86/12.01 | c_Int_Onumber__class_Onumber__of(X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | ~ class_Int_Onumber(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_757]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12202,plain,
% 11.86/12.01 ( ~ class_Int_Onumber(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.01 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.01 | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X0),X0) = c_Int_Onumber__class_Onumber__of(X1,X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_12201]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_739,plain,
% 11.86/12.01 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | ~ class_Power_Opower(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Omult__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7865_5) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12165,plain,
% 11.86/12.01 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | ~ class_Power_Opower(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Omult__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_739]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12166,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Omult__zero(X0)
% 11.86/12.01 | ~ class_Power_Opower(X0)
% 11.86/12.01 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.01 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_12165]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_734,plain,
% 11.86/12.01 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.01 | ~ class_Power_Opower(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Omult__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7866_4) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12155,plain,
% 11.86/12.01 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.01 | ~ class_Power_Opower(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Omult__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_734]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12156,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Omult__zero(X0)
% 11.86/12.01 | ~ class_Power_Opower(X0)
% 11.86/12.01 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_12155]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_726,plain,
% 11.86/12.01 ( X0 = X1
% 11.86/12.01 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7869_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12139,plain,
% 11.86/12.01 ( X0 = X1
% 11.86/12.01 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.86/12.01 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_726]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12140,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 11.86/12.01 | X1 = X2 ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_12139]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_706,plain,
% 11.86/12.01 ( c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(c_Int_OMin,X1),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0)
% 11.86/12.01 | ~ class_Int_Onumber__ring(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7874_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12099,plain,
% 11.86/12.01 ( c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(c_Int_OMin,X1),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0)
% 11.86/12.01 | ~ class_Int_Onumber__ring(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_706]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_12100,plain,
% 11.86/12.01 ( ~ class_Int_Onumber__ring(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.01 | c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0),X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_12099]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_646,plain,
% 11.86/12.01 ( X0 = X1
% 11.86/12.01 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7898_2) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_11979,plain,
% 11.86/12.01 ( X0 = X1
% 11.86/12.01 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_646]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_11980,plain,
% 11.86/12.01 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.86/12.01 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 11.86/12.01 | X0 = X1 ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_11979]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_600,plain,
% 11.86/12.01 ( c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | ~ class_Int_Onumber__ring(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7915_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_11887,plain,
% 11.86/12.01 ( c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | ~ class_Int_Onumber__ring(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_600]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_11888,plain,
% 11.86/12.01 ( ~ class_Int_Onumber__ring(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.01 | c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_11887]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_592,plain,
% 11.86/12.01 ( c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1),X1) = X0
% 11.86/12.01 | ~ class_Int_Onumber__ring(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7918_2) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_11871,plain,
% 11.86/12.01 ( c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1),X1) = X0
% 11.86/12.01 | ~ class_Int_Onumber__ring(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_592]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_11872,plain,
% 11.86/12.01 ( ~ class_Int_Onumber__ring(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.01 | c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0),X0) = X1 ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_11871]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_578,plain,
% 11.86/12.01 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/12.01 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Ozero__class_Ozero(X1)),X0) = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | ~ class_Power_Opower(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Omult__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7922_5) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_11843,plain,
% 11.86/12.01 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.86/12.01 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Ozero__class_Ozero(X1)),X0) = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | ~ class_Power_Opower(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Omult__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_578]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_11844,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Omult__zero(X0)
% 11.86/12.01 | ~ class_Power_Opower(X0)
% 11.86/12.01 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.01 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_11843]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_537,plain,
% 11.86/12.01 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7948_2) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_11761,plain,
% 11.86/12.01 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_537]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_11762,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.01 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_11761]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_531,plain,
% 11.86/12.01 ( hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)
% 11.86/12.01 | ~ class_Int_Onumber__ring(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7953_2) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_11749,plain,
% 11.86/12.01 ( hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)
% 11.86/12.01 | ~ class_Int_Onumber__ring(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_531]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_11750,plain,
% 11.86/12.01 ( ~ class_Int_Onumber__ring(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.01 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_11749]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_530,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.86/12.01 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) != hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)
% 11.86/12.01 | X1 = X2
% 11.86/12.01 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.01 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7954_0) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_11747,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.86/12.01 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) != hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)
% 11.86/12.01 | X1 = X2
% 11.86/12.01 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.01 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_530]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_11748,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.86/12.01 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) != hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)
% 11.86/12.01 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.01 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.01 | X1 = X2 ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_11747]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_501,plain,
% 11.86/12.01 ( X0 = X1
% 11.86/12.01 | hAPP(c_HOL_Oinverse__class_Oinverse(X2),X0) != hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__ring(X2) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7966_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_11689,plain,
% 11.86/12.01 ( X0 = X1
% 11.86/12.01 | hAPP(c_HOL_Oinverse__class_Oinverse(X2),X0) != hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__ring(X2) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_501]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_11690,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.86/12.01 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) != hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)
% 11.86/12.01 | X1 = X2 ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_11689]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_492,plain,
% 11.86/12.01 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7975_2) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_11671,plain,
% 11.86/12.01 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_492]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_11672,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.01 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_11671]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_456,plain,
% 11.86/12.01 ( hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)) = X1
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7993_2) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_11599,plain,
% 11.86/12.01 ( hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)) = X1
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_456]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_11600,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.86/12.01 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)) = X1 ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_11599]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_329,plain,
% 11.86/12.01 ( X0 = c_HOL_Oone__class_Oone(X1)
% 11.86/12.01 | hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0) != c_HOL_Oone__class_Oone(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8056_3) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_11345,plain,
% 11.86/12.01 ( X0 = c_HOL_Oone__class_Oone(X1)
% 11.86/12.01 | hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0) != c_HOL_Oone__class_Oone(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_329]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_11346,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.01 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) != c_HOL_Oone__class_Oone(X0)
% 11.86/12.01 | X1 = c_HOL_Oone__class_Oone(X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_11345]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_308,plain,
% 11.86/12.01 ( hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_HOL_Oone__class_Oone(X0)) = c_HOL_Oone__class_Oone(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8081_2) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_11303,plain,
% 11.86/12.01 ( hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_HOL_Oone__class_Oone(X0)) = c_HOL_Oone__class_Oone(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_308]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_11304,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Ofield(X0)
% 11.86/12.01 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_HOL_Oone__class_Oone(X0)) = c_HOL_Oone__class_Oone(X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_11303]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_305,plain,
% 11.86/12.01 ( hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8082_2) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_11297,plain,
% 11.86/12.01 ( hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_305]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_11298,plain,
% 11.86/12.01 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.86/12.01 | ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.86/12.01 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_11297]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_4812,negated_conjecture,
% 11.86/12.01 ( ~ c_Fun_Oinj__on(c_COMBB(c_Suc,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)),tc_nat,tc_nat,tc_nat),v_A,tc_nat,tc_nat) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_4) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_5967,negated_conjecture,
% 11.86/12.01 ( ~ c_Fun_Oinj__on(c_COMBB(c_Suc,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)),tc_nat,tc_nat,tc_nat),v_A,tc_nat,tc_nat) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_4812]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_5971,negated_conjecture,
% 11.86/12.01 ( ~ c_Fun_Oinj__on(c_COMBB(c_Suc,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)),tc_nat,tc_nat,tc_nat),v_A,tc_nat,tc_nat) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_5967]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_5972,negated_conjecture,
% 11.86/12.01 ( ~ c_Fun_Oinj__on(c_COMBB(c_Suc,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)),tc_nat,tc_nat,tc_nat),v_A,tc_nat,tc_nat) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_5971]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_5973,negated_conjecture,
% 11.86/12.01 ( ~ c_Fun_Oinj__on(c_COMBB(c_Suc,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)),tc_nat,tc_nat,tc_nat),v_A,tc_nat,tc_nat) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_5972]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_20311,negated_conjecture,
% 11.86/12.01 ( ~ c_Fun_Oinj__on(c_COMBB(c_Suc,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)),tc_nat,tc_nat,tc_nat),v_A,tc_nat,tc_nat) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_5973]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_4809,plain,
% 11.86/12.01 ( X0 = X1
% 11.86/12.01 | ~ c_Ring__and__Field_Oordered__idom(X2,X3,X1,X4,X5,X6,X7,X8,X9,X10,X11)
% 11.86/12.01 | ~ 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)) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6580_2) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_20305,plain,
% 11.86/12.01 ( X0 = X1
% 11.86/12.01 | ~ c_Ring__and__Field_Oordered__idom(X2,X3,X1,X4,X5,X6,X7,X8,X9,X10,X11)
% 11.86/12.01 | ~ 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)) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_4809]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_20306,plain,
% 11.86/12.01 ( ~ 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))
% 11.86/12.01 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X7,X1,X0,X10,X11,X2,X3,X12,X4)
% 11.86/12.01 | X5 = X7 ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_20305]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_4806,plain,
% 11.86/12.01 ( X0 = X1
% 11.86/12.01 | ~ c_Ring__and__Field_Oordered__idom(X2,X3,X1,X4,X5,X6,X7,X8,X9,X10,X11)
% 11.86/12.01 | ~ 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)) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6581_2) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_20299,plain,
% 11.86/12.01 ( X0 = X1
% 11.86/12.01 | ~ c_Ring__and__Field_Oordered__idom(X2,X3,X1,X4,X5,X6,X7,X8,X9,X10,X11)
% 11.86/12.01 | ~ 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)) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_4806]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_20300,plain,
% 11.86/12.01 ( ~ 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))
% 11.86/12.01 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X7,X1,X0,X10,X11,X2,X3,X12,X4)
% 11.86/12.01 | X6 = X7 ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_20299]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_4804,plain,
% 11.86/12.01 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.86/12.01 | ~ 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)) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6582_1) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_20295,plain,
% 11.86/12.01 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.86/12.01 | ~ 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)) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_4804]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_20296,plain,
% 11.86/12.01 ( ~ 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))
% 11.86/12.01 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X7,X1,X10,X0,X11,X2,X3,X12,X4) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_20295]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_4802,plain,
% 11.86/12.01 ( 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))
% 11.86/12.01 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X1,X0,X8,X9,X2,X3,X10,X4) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6583_1) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_20291,plain,
% 11.86/12.01 ( 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))
% 11.86/12.01 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X1,X0,X8,X9,X2,X3,X10,X4) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_4802]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_4800,plain,
% 11.86/12.01 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.86/12.01 | ~ 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))))) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6584_1) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_20287,plain,
% 11.86/12.01 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.86/12.01 | ~ 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))))) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_4800]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_20288,plain,
% 11.86/12.01 ( ~ 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)))))
% 11.86/12.01 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X2,X8,X0,X9,X3,X4,X10,X5) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_20287]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_4798,plain,
% 11.86/12.01 ( 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
% 11.86/12.01 | ~ 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) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6585_1) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_20283,plain,
% 11.86/12.01 ( 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
% 11.86/12.01 | ~ 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) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_4798]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_20284,plain,
% 11.86/12.01 ( ~ 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)
% 11.86/12.01 | 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 ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_20283]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_4796,plain,
% 11.86/12.01 ( 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
% 11.86/12.01 | ~ 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) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6586_1) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_20279,plain,
% 11.86/12.01 ( 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
% 11.86/12.01 | ~ 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) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_4796]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_20280,plain,
% 11.86/12.01 ( ~ 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)
% 11.86/12.01 | 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 ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_20279]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_4788,plain,
% 11.86/12.01 ( 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)))))
% 11.86/12.01 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X1,X2,X0,X10,X11,X3,X4,X12,X5) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6589_1) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_20263,plain,
% 11.86/12.01 ( 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)))))
% 11.86/12.01 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X1,X2,X0,X10,X11,X3,X4,X12,X5) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_4788]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_4782,plain,
% 11.86/12.01 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.86/12.01 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X1,X5,X0,X6,X7,X8,X9,X10,X11)
% 11.86/12.01 | ~ 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))))) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6591_2) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_20251,plain,
% 11.86/12.01 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.86/12.01 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X1,X5,X0,X6,X7,X8,X9,X10,X11)
% 11.86/12.01 | ~ 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))))) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_4782]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_20252,plain,
% 11.86/12.01 ( ~ 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)))))
% 11.86/12.01 | hBOOL(hAPP(hAPP(X0,X1),X5))
% 11.86/12.01 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X1,X9,X0,X10,X11,X2,X3,X12,X4) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_20251]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_4780,plain,
% 11.86/12.01 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.86/12.01 | ~ 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)) ),
% 11.86/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6592_1) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_20247,plain,
% 11.86/12.01 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.86/12.01 | ~ 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)) ),
% 11.86/12.01 inference(copy,[status(esa)],[c_4780]) ).
% 11.86/12.01
% 11.86/12.01 cnf(c_20248,plain,
% 11.86/12.01 ( ~ 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))
% 11.86/12.01 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X5,X8,X9,X0,X10,X1,X2,X11,X3) ),
% 11.86/12.01 inference(rewriting,[status(thm)],[c_20247]) ).
% 11.91/12.01
% 11.91/12.01 cnf(c_4778,plain,
% 11.91/12.01 ( 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))))
% 11.91/12.01 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X1,X9,X0,X10,X11,X2,X3,X12,X4) ),
% 11.91/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6593_1) ).
% 11.91/12.01
% 11.91/12.01 cnf(c_20243,plain,
% 11.91/12.01 ( 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))))
% 11.91/12.01 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X1,X9,X0,X10,X11,X2,X3,X12,X4) ),
% 11.91/12.01 inference(copy,[status(esa)],[c_4778]) ).
% 11.91/12.01
% 11.91/12.01 cnf(c_4775,plain,
% 11.91/12.01 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.91/12.01 | ~ c_Ring__and__Field_Oordered__idom(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
% 11.91/12.01 | ~ hBOOL(hAPP(hAPP(X6,X3),hAPP(hAPP(c_Power_Opower_Opower(X8,X9,X11),hAPP(X7,X3)),X0))) ),
% 11.91/12.01 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6594_2) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_20237,plain,
% 11.91/12.02 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
% 11.91/12.02 | ~ hBOOL(hAPP(hAPP(X6,X3),hAPP(hAPP(c_Power_Opower_Opower(X8,X9,X11),hAPP(X7,X3)),X0))) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4775]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_20238,plain,
% 11.91/12.02 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),hAPP(X5,X1)),X6)))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X1,X9,X10,X0,X5,X2,X3,X11,X4)
% 11.91/12.02 | X6 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_20237]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4773,plain,
% 11.91/12.02 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.91/12.02 | ~ 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)))) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6595_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_20233,plain,
% 11.91/12.02 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.91/12.02 | ~ 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)))) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4773]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_20234,plain,
% 11.91/12.02 ( ~ 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))))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X1,X7,X8,X0,X9,X2,X3,X10,X4) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_20233]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4771,plain,
% 11.91/12.02 ( 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
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X4,X0,X7,X8,X9,X1,X2,X10,X3) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6596_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_20229,plain,
% 11.91/12.02 ( 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
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X4,X0,X7,X8,X9,X1,X2,X10,X3) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4771]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_20230,plain,
% 11.91/12.02 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.91/12.02 | 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 ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_20229]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4769,plain,
% 11.91/12.02 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),hAPP(X5,X6)),c_HOL_Ozero__class_Ozero(tc_nat))))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X1,X9,X10,X0,X5,X2,X3,X11,X4) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6597_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_20225,plain,
% 11.91/12.02 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),hAPP(X5,X6)),c_HOL_Ozero__class_Ozero(tc_nat))))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X7,X8,X1,X9,X10,X0,X5,X2,X3,X11,X4) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4769]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4764,plain,
% 11.91/12.02 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),hAPP(X5,X6)),X7)))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X1,X10,X0,X11,X5,X2,X3,X12,X4) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6599_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_20215,plain,
% 11.91/12.02 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(c_Power_Opower_Opower(X2,X3,X4),hAPP(X5,X6)),X7)))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X8,X9,X1,X10,X0,X11,X5,X2,X3,X12,X4) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4764]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4759,plain,
% 11.91/12.02 ( 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))))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X9,X10,X2,X3,X11,X4) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6601_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_20205,plain,
% 11.91/12.02 ( 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))))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X1,X8,X0,X9,X10,X2,X3,X11,X4) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4759]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4757,plain,
% 11.91/12.02 ( 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
% 11.91/12.02 | ~ 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) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6602_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_20201,plain,
% 11.91/12.02 ( 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
% 11.91/12.02 | ~ 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) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4757]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_20202,plain,
% 11.91/12.02 ( ~ 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)
% 11.91/12.02 | 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 ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_20201]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4755,plain,
% 11.91/12.02 ( 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))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X7,X4,X8,X9,X10,X11,X0,X1,X2,X12,X3) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6603_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_20197,plain,
% 11.91/12.02 ( 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))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X7,X4,X8,X9,X10,X11,X0,X1,X2,X12,X3) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4755]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_20198,plain,
% 11.91/12.02 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.91/12.02 | 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)) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_20197]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4753,plain,
% 11.91/12.02 ( 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))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X10,X0,X1,X2,X11,X3) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6604_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_20193,plain,
% 11.91/12.02 ( 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))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X10,X0,X1,X2,X11,X3) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4753]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_20194,plain,
% 11.91/12.02 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.91/12.02 | 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)) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_20193]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4719,plain,
% 11.91/12.02 ( 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))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X8,X9,X10,X11,X3,X0,X1,X12,X2) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6613_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_20125,plain,
% 11.91/12.02 ( 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))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X6,X7,X8,X9,X10,X11,X3,X0,X1,X12,X2) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4719]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_20126,plain,
% 11.91/12.02 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.91/12.02 | 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)) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_20125]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4705,plain,
% 11.91/12.02 ( 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))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X10,X3,X0,X1,X11,X2) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6617_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_20097,plain,
% 11.91/12.02 ( 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))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X5,X6,X7,X8,X9,X10,X3,X0,X1,X11,X2) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4705]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_20098,plain,
% 11.91/12.02 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.91/12.02 | 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)) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_20097]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4554,plain,
% 11.91/12.02 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X2,X5,X6,X0,X7,X8,X9,X10,X11)
% 11.91/12.02 | ~ hBOOL(hAPP(hAPP(X0,hAPP(X10,X1)),X2)) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6655_2) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19795,plain,
% 11.91/12.02 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X2,X5,X6,X0,X7,X8,X9,X10,X11)
% 11.91/12.02 | ~ hBOOL(hAPP(hAPP(X0,hAPP(X10,X1)),X2)) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4554]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19796,plain,
% 11.91/12.02 ( ~ hBOOL(hAPP(hAPP(X0,hAPP(X1,X2)),X3))
% 11.91/12.02 | hBOOL(hAPP(hAPP(X0,X2),X3))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X3,X6,X7,X0,X8,X9,X10,X1,X11) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19795]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4549,plain,
% 11.91/12.02 ( 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
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X3,X6,X7,X8,X9,X0,X1,X10,X2) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6657_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19785,plain,
% 11.91/12.02 ( 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
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X3,X6,X7,X8,X9,X0,X1,X10,X2) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4549]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19786,plain,
% 11.91/12.02 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.91/12.02 | 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 ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19785]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4546,plain,
% 11.91/12.02 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X1,X5,X6,X0,X7,X8,X9,X10,X11)
% 11.91/12.02 | ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(X10,X2))) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6658_2) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19779,plain,
% 11.91/12.02 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X1,X5,X6,X0,X7,X8,X9,X10,X11)
% 11.91/12.02 | ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(X10,X2))) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4546]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19780,plain,
% 11.91/12.02 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(X2,X3)))
% 11.91/12.02 | hBOOL(hAPP(hAPP(X0,X1),X3))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X1,X6,X7,X0,X8,X9,X10,X2,X11) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19779]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4541,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,hAPP(X1,X2)),hAPP(X1,X3)) = hAPP(X1,hAPP(hAPP(X0,X2),X3))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X9,X1,X10,X0,X11,X12) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6660_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19769,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,hAPP(X1,X2)),hAPP(X1,X3)) = hAPP(X1,hAPP(hAPP(X0,X2),X3))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X9,X1,X10,X0,X11,X12) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4541]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19770,plain,
% 11.91/12.02 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.91/12.02 | hAPP(hAPP(X8,hAPP(X6,X11)),hAPP(X6,X12)) = hAPP(X6,hAPP(hAPP(X8,X11),X12)) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19769]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4539,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,hAPP(X1,X2)),hAPP(X1,X3)) = hAPP(X1,hAPP(hAPP(X0,X2),X3))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X9,X10,X11,X0,X1,X12) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6661_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19765,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,hAPP(X1,X2)),hAPP(X1,X3)) = hAPP(X1,hAPP(hAPP(X0,X2),X3))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X9,X10,X11,X0,X1,X12) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4539]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19766,plain,
% 11.91/12.02 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.91/12.02 | hAPP(hAPP(X8,hAPP(X9,X11)),hAPP(X9,X12)) = hAPP(X9,hAPP(hAPP(X8,X11),X12)) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19765]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4532,plain,
% 11.91/12.02 ( hAPP(X0,X1) = hAPP(X2,X3)
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X4,X2,X5,X6,X7,X8,X9,X3,X10,X0,X11)
% 11.91/12.02 | ~ hBOOL(hAPP(hAPP(X8,X1),X5)) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6663_2) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19751,plain,
% 11.91/12.02 ( hAPP(X0,X1) = hAPP(X2,X3)
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X4,X2,X5,X6,X7,X8,X9,X3,X10,X0,X11)
% 11.91/12.02 | ~ hBOOL(hAPP(hAPP(X8,X1),X5)) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4532]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19752,plain,
% 11.91/12.02 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X2,X5,X6,X0,X7,X8,X9,X10,X11)
% 11.91/12.02 | hAPP(X10,X1) = hAPP(X4,X8) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19751]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4530,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,hAPP(X1,X2)),hAPP(X1,X2)) = hAPP(hAPP(X0,X2),X2)
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X8,X1,X9,X0,X10,X11) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6664_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19747,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,hAPP(X1,X2)),hAPP(X1,X2)) = hAPP(hAPP(X0,X2),X2)
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X8,X1,X9,X0,X10,X11) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4530]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19748,plain,
% 11.91/12.02 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.91/12.02 | hAPP(hAPP(X8,hAPP(X6,X11)),hAPP(X6,X11)) = hAPP(hAPP(X8,X11),X11) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19747]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4527,plain,
% 11.91/12.02 ( hAPP(X0,X1) = X2
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X8,X9,X2,X10,X0,X11)
% 11.91/12.02 | ~ hBOOL(hAPP(hAPP(X8,X5),X1)) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6665_2) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19741,plain,
% 11.91/12.02 ( hAPP(X0,X1) = X2
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X5,X6,X7,X8,X9,X2,X10,X0,X11)
% 11.91/12.02 | ~ hBOOL(hAPP(hAPP(X8,X5),X1)) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4527]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19742,plain,
% 11.91/12.02 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X1,X5,X6,X0,X7,X8,X9,X10,X11)
% 11.91/12.02 | hAPP(X10,X2) = X8 ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19741]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4524,plain,
% 11.91/12.02 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X2,X5,X6,X0,X7,X8,X9,X10,X11)
% 11.91/12.02 | hAPP(X10,X1) != hAPP(X4,X8) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6666_2) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19735,plain,
% 11.91/12.02 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X2,X5,X6,X0,X7,X8,X9,X10,X11)
% 11.91/12.02 | hAPP(X10,X1) != hAPP(X4,X8) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4524]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4522,plain,
% 11.91/12.02 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X1,X5,X6,X0,X7,hAPP(X8,X2),X9,X8,X10) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6667_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19731,plain,
% 11.91/12.02 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X3,X4,X1,X5,X6,X0,X7,hAPP(X8,X2),X9,X8,X10) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4522]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4520,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,hAPP(X1,X2)),hAPP(X3,X2)) = X2
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X9,X3,X10,X0,X1,X11) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6668_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19727,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,hAPP(X1,X2)),hAPP(X3,X2)) = X2
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X9,X3,X10,X0,X1,X11) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4520]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19728,plain,
% 11.91/12.02 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.91/12.02 | hAPP(hAPP(X8,hAPP(X9,X11)),hAPP(X6,X11)) = X11 ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19727]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4518,plain,
% 11.91/12.02 ( hAPP(X0,X1) = hAPP(hAPP(X2,X1),hAPP(X3,X1))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X9,X0,X10,X2,X3,X11) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6669_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19723,plain,
% 11.91/12.02 ( hAPP(X0,X1) = hAPP(hAPP(X2,X1),hAPP(X3,X1))
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X4,X5,X6,X7,X8,X9,X0,X10,X2,X3,X11) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4518]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19724,plain,
% 11.91/12.02 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.91/12.02 | hAPP(X6,X11) = hAPP(hAPP(X8,X11),hAPP(X9,X11)) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19723]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4516,plain,
% 11.91/12.02 ( hAPP(X0,X1) = X1
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X2,X3,hAPP(X0,X1),X4,X5,X6,X7,X8,X9,X0,X10) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6670_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19719,plain,
% 11.91/12.02 ( hAPP(X0,X1) = X1
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X2,X3,hAPP(X0,X1),X4,X5,X6,X7,X8,X9,X0,X10) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4516]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19720,plain,
% 11.91/12.02 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,hAPP(X2,X3),X4,X5,X6,X7,X8,X9,X2,X10)
% 11.91/12.02 | hAPP(X2,X3) = X3 ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19719]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4514,plain,
% 11.91/12.02 ( hAPP(X0,hAPP(X0,X1)) = hAPP(X0,X1)
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X2,X3,X4,X5,X6,X7,X8,X9,X10,X0,X11) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6671_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19715,plain,
% 11.91/12.02 ( hAPP(X0,hAPP(X0,X1)) = hAPP(X0,X1)
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X2,X3,X4,X5,X6,X7,X8,X9,X10,X0,X11) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4514]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19716,plain,
% 11.91/12.02 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.91/12.02 | hAPP(X9,hAPP(X9,X11)) = hAPP(X9,X11) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19715]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4512,plain,
% 11.91/12.02 ( hAPP(X0,X1) = X1
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X2,X3,X1,X4,X5,X6,X7,X8,X9,X0,X10) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6672_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19711,plain,
% 11.91/12.02 ( hAPP(X0,X1) = X1
% 11.91/12.02 | ~ c_Ring__and__Field_Oordered__idom(X2,X3,X1,X4,X5,X6,X7,X8,X9,X0,X10) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4512]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19712,plain,
% 11.91/12.02 ( ~ c_Ring__and__Field_Oordered__idom(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 11.91/12.02 | hAPP(X9,X2) = X2 ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19711]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4510,plain,
% 11.91/12.02 ( 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))
% 11.91/12.02 | ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X6,X3,X7,X8,X2) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6673_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19707,plain,
% 11.91/12.02 ( 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))
% 11.91/12.02 | ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X6,X3,X7,X8,X2) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4510]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19708,plain,
% 11.91/12.02 ( ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X2,X3,X4,X5,X6)
% 11.91/12.02 | 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)) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19707]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4508,plain,
% 11.91/12.02 ( 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)
% 11.91/12.02 | ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X5,X3,X6,X7,X2) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6674_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19703,plain,
% 11.91/12.02 ( 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)
% 11.91/12.02 | ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X5,X3,X6,X7,X2) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4508]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19704,plain,
% 11.91/12.02 ( ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X2,X3,X4,X5,X6)
% 11.91/12.02 | 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) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19703]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4506,plain,
% 11.91/12.02 ( 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))
% 11.91/12.02 | ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X5,X3,X6,X7,X2) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6675_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19699,plain,
% 11.91/12.02 ( 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))
% 11.91/12.02 | ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X5,X3,X6,X7,X2) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4506]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19700,plain,
% 11.91/12.02 ( ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X2,X3,X4,X5,X6)
% 11.91/12.02 | 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)) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19699]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4504,plain,
% 11.91/12.02 ( 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
% 11.91/12.02 | ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X5,X3,X6,X7,X2) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6676_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19695,plain,
% 11.91/12.02 ( 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
% 11.91/12.02 | ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X5,X3,X6,X7,X2) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4504]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19696,plain,
% 11.91/12.02 ( ~ c_Ring__and__Field_Ocomm__ring__1(X0,X1,X2,X3,X4,X5,X6)
% 11.91/12.02 | 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 ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19695]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4502,plain,
% 11.91/12.02 ( 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)))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X2,X5,X6,X7) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6677_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19691,plain,
% 11.91/12.02 ( 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)))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X2,X5,X6,X7) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4502]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19692,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | 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))) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19691]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4500,plain,
% 11.91/12.02 ( 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))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6678_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19687,plain,
% 11.91/12.02 ( 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))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4500]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19688,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | 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)) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19687]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4498,plain,
% 11.91/12.02 ( 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))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X4,X3,X0,X5,X6,X7) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6679_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19683,plain,
% 11.91/12.02 ( 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))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X4,X3,X0,X5,X6,X7) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4498]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19684,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | 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)) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19683]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4496,plain,
% 11.91/12.02 ( 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))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X0,X5,X6,X7,X8,X9) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6680_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19679,plain,
% 11.91/12.02 ( 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))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X0,X5,X6,X7,X8,X9) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4496]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19680,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | 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)) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19679]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4494,plain,
% 11.91/12.02 ( 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)))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6681_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19675,plain,
% 11.91/12.02 ( 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)))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4494]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19676,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | 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))) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19675]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4492,plain,
% 11.91/12.02 ( 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))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6682_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19671,plain,
% 11.91/12.02 ( 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))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4492]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19672,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | 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)) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19671]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4490,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6683_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19667,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4490]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19668,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X8),X7)) = hAPP(hAPP(X2,hAPP(hAPP(X1,X6),X8)),X7) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19667]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4486,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6685_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19659,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4486]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19660,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X7)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X8)),X7) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19659]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4484,plain,
% 11.91/12.02 ( 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))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6686_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19655,plain,
% 11.91/12.02 ( 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))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4484]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19656,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | 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)) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19655]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4482,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(X0,X3),X4))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6687_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19651,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(X0,X3),X4))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4482]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19652,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X6),X8)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X0,X7),X8)) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19651]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4480,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6688_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19647,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4480]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19648,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),X7) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19647]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4478,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6689_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19643,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4478]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19644,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),X7) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19643]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4476,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X4,X7) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6690_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19639,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X4,X7) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4476]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19640,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),X7) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X4)),X7) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19639]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4474,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X4,X5,X0,X6,X7,X8) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6691_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19635,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X4,X5,X0,X6,X7,X8) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4474]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19636,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | hAPP(hAPP(X2,hAPP(hAPP(X2,X6),X7)),X8) = hAPP(hAPP(X2,X6),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X7),X8)) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19635]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4466,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6695_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19619,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4466]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19620,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19619]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4462,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6697_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19611,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4462]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19612,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19611]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4460,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X4)),X1)
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X5,X6,X4,X7) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6698_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19607,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X4)),X1)
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X5,X6,X4,X7) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4460]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19608,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | hAPP(hAPP(X0,X6),hAPP(hAPP(X1,X7),X6)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X7),X4)),X6) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19607]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4458,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2) = hAPP(hAPP(X1,X2),hAPP(c_Suc,X3))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X1,X5,X6,X7) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6699_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19603,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2) = hAPP(hAPP(X1,X2),hAPP(c_Suc,X3))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X1,X5,X6,X7) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4458]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19604,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),X6) = hAPP(hAPP(X2,X6),hAPP(c_Suc,X7)) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19603]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4456,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6700_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19599,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4456]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19600,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) = hAPP(hAPP(X0,X7),hAPP(hAPP(X0,X6),X8)) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19599]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4454,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6701_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19595,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4454]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19596,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) = hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X6),X8)) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19595]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4452,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),X1) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X3)),X1)
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X4,X5,X3,X6) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6702_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19591,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),X1) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X3)),X1)
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X4,X5,X3,X6) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4452]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19592,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | hAPP(hAPP(X0,X6),X6) = hAPP(hAPP(X1,hAPP(hAPP(X0,X4),X4)),X6) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19591]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4446,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)) = hAPP(hAPP(X2,X1),hAPP(c_Suc,X3))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X2,X5,X6,X7) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6705_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19579,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)) = hAPP(hAPP(X2,X1),hAPP(c_Suc,X3))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X2,X5,X6,X7) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4446]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19580,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | hAPP(hAPP(X1,X6),hAPP(hAPP(X2,X6),X7)) = hAPP(hAPP(X2,X6),hAPP(c_Suc,X7)) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19579]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4444,plain,
% 11.91/12.02 ( 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))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X2,X4,X5,X6) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6706_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19575,plain,
% 11.91/12.02 ( 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))
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X2,X4,X5,X6) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4444]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19576,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | 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)) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19575]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4438,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X5,X6,X7) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6709_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19563,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X5,X6,X7) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4438]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19564,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | hAPP(hAPP(X0,X6),X7) = hAPP(hAPP(X0,X7),X6) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19563]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4436,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X6,X7) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6710_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19559,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X6,X7) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4436]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19560,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | hAPP(hAPP(X1,X6),X7) = hAPP(hAPP(X1,X7),X6) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19559]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4434,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),c_HOL_Oone__class_Oone(tc_nat)) = X1
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X2,X3,X0,X4,X5,X6) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6711_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19555,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),c_HOL_Oone__class_Oone(tc_nat)) = X1
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X2,X3,X0,X4,X5,X6) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4434]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19556,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | hAPP(hAPP(X2,X6),c_HOL_Oone__class_Oone(tc_nat)) = X6 ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19555]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4432,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X3,X4,X0,X5,X2,X6) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6712_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19551,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X3,X4,X0,X5,X2,X6) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4432]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19552,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | hAPP(hAPP(X2,X6),c_HOL_Ozero__class_Ozero(tc_nat)) = X4 ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19551]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4424,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),X2) = X1
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X2,X6) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6716_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19535,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),X2) = X1
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X2,X6) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4424]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19536,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | hAPP(hAPP(X1,X6),X4) = X6 ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19535]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4422,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),X2) = X2
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X1,X6) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6717_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19531,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),X2) = X2
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X1,X6) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4422]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19532,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | hAPP(hAPP(X1,X4),X6) = X6 ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19531]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4420,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),X2) = X2
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X2,X5,X6) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6718_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19527,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),X2) = X2
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X2,X5,X6) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4420]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19528,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | hAPP(hAPP(X1,X6),X3) = X3 ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19527]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4418,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),X2) = X1
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X1,X5,X6) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6719_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19523,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),X2) = X1
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X1,X5,X6) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4418]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19524,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | hAPP(hAPP(X1,X3),X6) = X3 ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19523]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4416,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),X2) = X1
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X2,X5,X6) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6720_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19519,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),X2) = X1
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X2,X5,X6) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4416]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19520,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | hAPP(hAPP(X0,X6),X3) = X6 ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19519]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4414,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),X2) = X2
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X1,X5,X6) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6721_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19515,plain,
% 11.91/12.02 ( hAPP(hAPP(X0,X1),X2) = X2
% 11.91/12.02 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X1,X5,X6) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4414]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19516,plain,
% 11.91/12.02 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.91/12.02 | hAPP(hAPP(X0,X3),X6) = X6 ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19515]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4412,plain,
% 11.91/12.02 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),c_HOL_Ominus__class_Ominus(X3,X4,X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X4))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_HOL_Ominus__class_Ominus(X3,X4,X0))) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4),X0)
% 11.91/12.02 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6722_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19511,plain,
% 11.91/12.02 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),c_HOL_Ominus__class_Ominus(X3,X4,X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X4))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_HOL_Ominus__class_Ominus(X3,X4,X0))) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4),X0)
% 11.91/12.02 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4412]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19512,plain,
% 11.91/12.02 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 11.91/12.02 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),c_HOL_Ominus__class_Ominus(X3,X4,X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X4))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_HOL_Ominus__class_Ominus(X3,X4,X0))) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4),X0) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19511]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4410,plain,
% 11.91/12.02 ( 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)
% 11.91/12.02 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6724_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19507,plain,
% 11.91/12.02 ( 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)
% 11.91/12.02 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4410]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19508,plain,
% 11.91/12.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.91/12.02 | 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) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19507]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4408,plain,
% 11.91/12.02 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)),c_Divides_Odiv__class_Omod(X1,X2,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 11.91/12.02 | ~ class_Divides_Osemiring__div(X0) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6725_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19503,plain,
% 11.91/12.02 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)),c_Divides_Odiv__class_Omod(X1,X2,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 11.91/12.02 | ~ class_Divides_Osemiring__div(X0) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4408]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19504,plain,
% 11.91/12.02 ( ~ class_Divides_Osemiring__div(X0)
% 11.91/12.02 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)),c_Divides_Odiv__class_Omod(X1,X2,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19503]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4405,plain,
% 11.91/12.02 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 11.91/12.02 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0)
% 11.91/12.02 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6726_2) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19497,plain,
% 11.91/12.02 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 11.91/12.02 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0)
% 11.91/12.02 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4405]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19498,plain,
% 11.91/12.02 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 11.91/12.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 11.91/12.02 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19497]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4402,plain,
% 11.91/12.02 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 11.91/12.02 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X4,X0)),X2)),X3),X5,X0)
% 11.91/12.02 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6727_2) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19491,plain,
% 11.91/12.02 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 11.91/12.02 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X4,X0)),X2)),X3),X5,X0)
% 11.91/12.02 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4402]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19492,plain,
% 11.91/12.02 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 11.91/12.02 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 11.91/12.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19491]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4399,plain,
% 11.91/12.02 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 11.91/12.02 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X4,X0)),X2)),X3),X5,X0)
% 11.91/12.02 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6728_2) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19485,plain,
% 11.91/12.02 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 11.91/12.02 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X4,X0)),X2)),X3),X5,X0)
% 11.91/12.02 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4399]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19486,plain,
% 11.91/12.02 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 11.91/12.02 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 11.91/12.02 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19485]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4396,plain,
% 11.91/12.02 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 11.91/12.02 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0)
% 11.91/12.02 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6729_2) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19479,plain,
% 11.91/12.02 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 11.91/12.02 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0)
% 11.91/12.02 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4396]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19480,plain,
% 11.91/12.02 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 11.91/12.02 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 11.91/12.02 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19479]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4390,plain,
% 11.91/12.02 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 11.91/12.02 | ~ c_lessequals(X3,X0,tc_nat)
% 11.91/12.02 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2),X4,tc_nat) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6731_2) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19467,plain,
% 11.91/12.02 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 11.91/12.02 | ~ c_lessequals(X3,X0,tc_nat)
% 11.91/12.02 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2),X4,tc_nat) ),
% 11.91/12.02 inference(copy,[status(esa)],[c_4390]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19468,plain,
% 11.91/12.02 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 11.91/12.02 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat)
% 11.91/12.02 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.91/12.02 inference(rewriting,[status(thm)],[c_19467]) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_4382,plain,
% 11.91/12.02 ( 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))
% 11.91/12.02 | ~ class_Int_Onumber__ring(X0) ),
% 11.91/12.02 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6734_1) ).
% 11.91/12.02
% 11.91/12.02 cnf(c_19451,plain,
% 11.91/12.02 ( 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))
% 11.91/12.03 | ~ class_Int_Onumber__ring(X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4382]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19452,plain,
% 11.91/12.03 ( ~ class_Int_Onumber__ring(X0)
% 11.91/12.03 | 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)) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19451]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4381,plain,
% 11.91/12.03 ( ~ class_RealVector_Oreal__normed__field(X0)
% 11.91/12.03 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2))) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0),X3,X0)
% 11.91/12.03 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.91/12.03 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6735_0) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19449,plain,
% 11.91/12.03 ( ~ class_RealVector_Oreal__normed__field(X0)
% 11.91/12.03 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2))) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0),X3,X0)
% 11.91/12.03 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.91/12.03 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4381]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4378,plain,
% 11.91/12.03 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.03 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.03 | hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0)),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X2,X1),X3,X1))),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2))) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2),X1),X3,X1)
% 11.91/12.03 | ~ class_RealVector_Oreal__normed__field(X1) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6735_3) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19443,plain,
% 11.91/12.03 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.03 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.03 | hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0)),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X2,X1),X3,X1))),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2))) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2),X1),X3,X1)
% 11.91/12.03 | ~ class_RealVector_Oreal__normed__field(X1) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4378]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19444,plain,
% 11.91/12.03 ( ~ class_RealVector_Oreal__normed__field(X0)
% 11.91/12.03 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2))) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0),X3,X0)
% 11.91/12.03 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 11.91/12.03 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19443]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4376,plain,
% 11.91/12.03 ( 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)))
% 11.91/12.03 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6736_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19439,plain,
% 11.91/12.03 ( 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)))
% 11.91/12.03 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4376]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19440,plain,
% 11.91/12.03 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.91/12.03 | 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))) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19439]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4370,plain,
% 11.91/12.03 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X4)),X5),X1)
% 11.91/12.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5),X1)
% 11.91/12.03 | ~ class_Ring__and__Field_Opordered__ring(X1) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6738_2) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19427,plain,
% 11.91/12.03 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X4)),X5),X1)
% 11.91/12.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5),X1)
% 11.91/12.03 | ~ class_Ring__and__Field_Opordered__ring(X1) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4370]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19428,plain,
% 11.91/12.03 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 11.91/12.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 11.91/12.03 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19427]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4367,plain,
% 11.91/12.03 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 11.91/12.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0)
% 11.91/12.03 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6739_2) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19421,plain,
% 11.91/12.03 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 11.91/12.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0)
% 11.91/12.03 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4367]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19422,plain,
% 11.91/12.03 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 11.91/12.03 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 11.91/12.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19421]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4364,plain,
% 11.91/12.03 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 11.91/12.03 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0)
% 11.91/12.03 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6740_2) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19415,plain,
% 11.91/12.03 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 11.91/12.03 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0)
% 11.91/12.03 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4364]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19416,plain,
% 11.91/12.03 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 11.91/12.03 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 11.91/12.03 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19415]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4361,plain,
% 11.91/12.03 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X4)),X5),X1)
% 11.91/12.03 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5),X1)
% 11.91/12.03 | ~ class_Ring__and__Field_Opordered__ring(X1) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6741_2) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19409,plain,
% 11.91/12.03 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X4)),X5),X1)
% 11.91/12.03 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5),X1)
% 11.91/12.03 | ~ class_Ring__and__Field_Opordered__ring(X1) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4361]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19410,plain,
% 11.91/12.03 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 11.91/12.03 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 11.91/12.03 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19409]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4358,plain,
% 11.91/12.03 ( c_SEQ_OLIMSEQ(X0,X1,X2)
% 11.91/12.03 | ~ c_SEQ_OLIMSEQ(c_COMBB(X0,c_Suc,tc_nat,X2,tc_nat),X1,X2)
% 11.91/12.03 | ~ class_RealVector_Ometric__space(X2) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6742_2) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19403,plain,
% 11.91/12.03 ( c_SEQ_OLIMSEQ(X0,X1,X2)
% 11.91/12.03 | ~ c_SEQ_OLIMSEQ(c_COMBB(X0,c_Suc,tc_nat,X2,tc_nat),X1,X2)
% 11.91/12.03 | ~ class_RealVector_Ometric__space(X2) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4358]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19404,plain,
% 11.91/12.03 ( ~ class_RealVector_Ometric__space(X0)
% 11.91/12.03 | ~ c_SEQ_OLIMSEQ(c_COMBB(X1,c_Suc,tc_nat,X0,tc_nat),X2,X0)
% 11.91/12.03 | c_SEQ_OLIMSEQ(X1,X2,X0) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19403]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4355,plain,
% 11.91/12.03 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3)),X4),tc_nat)
% 11.91/12.03 | ~ c_lessequals(X2,X1,tc_nat)
% 11.91/12.03 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4),tc_nat) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6743_2) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19397,plain,
% 11.91/12.03 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3)),X4),tc_nat)
% 11.91/12.03 | ~ c_lessequals(X2,X1,tc_nat)
% 11.91/12.03 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4),tc_nat) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4355]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19398,plain,
% 11.91/12.03 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 11.91/12.03 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat)
% 11.91/12.03 | ~ c_lessequals(X0,X3,tc_nat) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19397]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4344,plain,
% 11.91/12.03 ( 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)))
% 11.91/12.03 | ~ c_OrderedGroup_Omonoid__mult(X2,X0,X3) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6747_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19375,plain,
% 11.91/12.03 ( 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)))
% 11.91/12.03 | ~ c_OrderedGroup_Omonoid__mult(X2,X0,X3) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4344]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19376,plain,
% 11.91/12.03 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 11.91/12.03 | 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))) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19375]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4342,plain,
% 11.91/12.03 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X5,X0),X4,X0)),X3)) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X5),X3),X0),X4,X0)
% 11.91/12.03 | ~ class_RealVector_Oreal__field(X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6749_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19371,plain,
% 11.91/12.03 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X5,X0),X4,X0)),X3)) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X5),X3),X0),X4,X0)
% 11.91/12.03 | ~ class_RealVector_Oreal__field(X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4342]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19372,plain,
% 11.91/12.03 ( ~ class_RealVector_Oreal__field(X0)
% 11.91/12.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X5,X0),X4,X0)),X3)) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X5),X3),X0),X4,X0) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19371]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4338,plain,
% 11.91/12.03 ( hBOOL(hAPP(X0,X1))
% 11.91/12.03 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.91/12.03 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)),X3),X2,tc_nat)))
% 11.91/12.03 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6750_3) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19363,plain,
% 11.91/12.03 ( hBOOL(hAPP(X0,X1))
% 11.91/12.03 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.91/12.03 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)),X3),X2,tc_nat)))
% 11.91/12.03 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4338]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19364,plain,
% 11.91/12.03 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.91/12.03 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X0),X1,tc_nat)))
% 11.91/12.03 | hBOOL(hAPP(X2,X3))
% 11.91/12.03 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19363]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4334,plain,
% 11.91/12.03 ( hBOOL(hAPP(X0,X1))
% 11.91/12.03 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.91/12.03 | ~ 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)))
% 11.91/12.03 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6751_3) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19355,plain,
% 11.91/12.03 ( hBOOL(hAPP(X0,X1))
% 11.91/12.03 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.91/12.03 | ~ 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)))
% 11.91/12.03 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4334]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19356,plain,
% 11.91/12.03 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.91/12.03 | ~ 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)))
% 11.91/12.03 | hBOOL(hAPP(X2,X0))
% 11.91/12.03 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19355]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4332,plain,
% 11.91/12.03 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0))),c_Divides_Odiv__class_Omod(X2,X1,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)
% 11.91/12.03 | ~ class_Divides_Osemiring__div(X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6752_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19351,plain,
% 11.91/12.03 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0))),c_Divides_Odiv__class_Omod(X2,X1,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)
% 11.91/12.03 | ~ class_Divides_Osemiring__div(X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4332]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19352,plain,
% 11.91/12.03 ( ~ class_Divides_Osemiring__div(X0)
% 11.91/12.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0))),c_Divides_Odiv__class_Omod(X2,X1,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19351]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4330,plain,
% 11.91/12.03 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat)
% 11.91/12.03 | ~ c_lessequals(X0,X3,tc_nat) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6753_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19347,plain,
% 11.91/12.03 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat)
% 11.91/12.03 | ~ c_lessequals(X0,X3,tc_nat) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4330]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19348,plain,
% 11.91/12.03 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.91/12.03 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X4),tc_nat) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19347]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4328,plain,
% 11.91/12.03 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2),X4,tc_nat)
% 11.91/12.03 | ~ c_lessequals(X3,X0,tc_nat) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6754_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19343,plain,
% 11.91/12.03 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2),X4,tc_nat)
% 11.91/12.03 | ~ c_lessequals(X3,X0,tc_nat) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4328]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19344,plain,
% 11.91/12.03 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.91/12.03 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3),X4,tc_nat) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19343]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4326,plain,
% 11.91/12.03 ( c_HOL_Ominus__class_Ominus(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),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 11.91/12.03 | ~ class_Int_Onumber__ring(X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6756_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19339,plain,
% 11.91/12.03 ( c_HOL_Ominus__class_Ominus(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),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 11.91/12.03 | ~ class_Int_Onumber__ring(X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4326]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19340,plain,
% 11.91/12.03 ( ~ class_Int_Onumber__ring(X0)
% 11.91/12.03 | c_HOL_Ominus__class_Ominus(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),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19339]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4322,plain,
% 11.91/12.03 ( 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),c_HOL_Ominus__class_Ominus(X3,X1,X0)),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4)
% 11.91/12.03 | ~ class_Ring__and__Field_Oring(X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6758_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19331,plain,
% 11.91/12.03 ( 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),c_HOL_Ominus__class_Ominus(X3,X1,X0)),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4)
% 11.91/12.03 | ~ class_Ring__and__Field_Oring(X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4322]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19332,plain,
% 11.91/12.03 ( ~ class_Ring__and__Field_Oring(X0)
% 11.91/12.03 | 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),c_HOL_Ominus__class_Ominus(X3,X1,X0)),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19331]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4319,plain,
% 11.91/12.03 ( c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2,X0,X0,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.91/12.03 | ~ c_SEQ_OLIMSEQ(X2,X3,X0)
% 11.91/12.03 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6759_2) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19325,plain,
% 11.91/12.03 ( c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2,X0,X0,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.91/12.03 | ~ c_SEQ_OLIMSEQ(X2,X3,X0)
% 11.91/12.03 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4319]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19326,plain,
% 11.91/12.03 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 11.91/12.03 | c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2,X0,X0,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.91/12.03 | ~ c_SEQ_OLIMSEQ(X2,X3,X0) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19325]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4315,plain,
% 11.91/12.03 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat)),X1)),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)),X3)
% 11.91/12.03 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6761_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19317,plain,
% 11.91/12.03 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat)),X1)),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)),X3)
% 11.91/12.03 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4315]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19318,plain,
% 11.91/12.03 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.91/12.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),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),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19317]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4308,plain,
% 11.91/12.03 ( c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X0),X1,X0,X0,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 11.91/12.03 | ~ c_SEQ_OLIMSEQ(X1,X2,X0)
% 11.91/12.03 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6763_2) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19303,plain,
% 11.91/12.03 ( c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X0),X1,X0,X0,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 11.91/12.03 | ~ c_SEQ_OLIMSEQ(X1,X2,X0)
% 11.91/12.03 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4308]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4305,plain,
% 11.91/12.03 ( c_SEQ_OLIMSEQ(c_COMBB(X0,c_Suc,tc_nat,X1,tc_nat),X2,X1)
% 11.91/12.03 | ~ c_SEQ_OLIMSEQ(X0,X2,X1)
% 11.91/12.03 | ~ class_RealVector_Ometric__space(X1) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6764_2) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19297,plain,
% 11.91/12.03 ( c_SEQ_OLIMSEQ(c_COMBB(X0,c_Suc,tc_nat,X1,tc_nat),X2,X1)
% 11.91/12.03 | ~ c_SEQ_OLIMSEQ(X0,X2,X1)
% 11.91/12.03 | ~ class_RealVector_Ometric__space(X1) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4305]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19298,plain,
% 11.91/12.03 ( ~ class_RealVector_Ometric__space(X0)
% 11.91/12.03 | c_SEQ_OLIMSEQ(c_COMBB(X1,c_Suc,tc_nat,X0,tc_nat),X2,X0)
% 11.91/12.03 | ~ c_SEQ_OLIMSEQ(X1,X2,X0) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19297]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4303,plain,
% 11.91/12.03 ( 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)
% 11.91/12.03 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6767_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19293,plain,
% 11.91/12.03 ( 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)
% 11.91/12.03 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4303]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19294,plain,
% 11.91/12.03 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.91/12.03 | 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) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19293]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4301,plain,
% 11.91/12.03 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.91/12.03 | hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat)),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat))) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat)),X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6768_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19289,plain,
% 11.91/12.03 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.91/12.03 | hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat)),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat))) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat)),X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4301]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19290,plain,
% 11.91/12.03 ( hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat)),X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat))) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_nat)),X0)
% 11.91/12.03 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19289]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4299,plain,
% 11.91/12.03 ( ~ 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)
% 11.91/12.03 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6769_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19285,plain,
% 11.91/12.03 ( ~ 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)
% 11.91/12.03 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4299]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19286,plain,
% 11.91/12.03 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.91/12.03 | ~ 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) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19285]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4297,plain,
% 11.91/12.03 ( 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))
% 11.91/12.03 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6770_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19281,plain,
% 11.91/12.03 ( 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))
% 11.91/12.03 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4297]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19282,plain,
% 11.91/12.03 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.91/12.03 | 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)) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19281]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4296,plain,
% 11.91/12.03 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.91/12.03 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),c_HOL_Ominus__class_Ominus(X1,X2,X0))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2))) = c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 11.91/12.03 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.91/12.03 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6771_0) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19279,plain,
% 11.91/12.03 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.91/12.03 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),c_HOL_Ominus__class_Ominus(X1,X2,X0))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2))) = c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 11.91/12.03 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.91/12.03 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4296]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4293,plain,
% 11.91/12.03 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.03 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.03 | hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0)),c_HOL_Ominus__class_Ominus(X0,X2,X1))),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2))) = c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2),X1)
% 11.91/12.03 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6771_3) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19273,plain,
% 11.91/12.03 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.03 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.03 | hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0)),c_HOL_Ominus__class_Ominus(X0,X2,X1))),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2))) = c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2),X1)
% 11.91/12.03 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4293]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19274,plain,
% 11.91/12.03 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.91/12.03 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),c_HOL_Ominus__class_Ominus(X1,X2,X0))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2))) = c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 11.91/12.03 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 11.91/12.03 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19273]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4290,plain,
% 11.91/12.03 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.91/12.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),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))),X0)
% 11.91/12.03 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6772_2) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19267,plain,
% 11.91/12.03 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.91/12.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),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))),X0)
% 11.91/12.03 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4290]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19268,plain,
% 11.91/12.03 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.91/12.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),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))),X0)
% 11.91/12.03 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19267]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4288,plain,
% 11.91/12.03 ( 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))
% 11.91/12.03 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6773_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19263,plain,
% 11.91/12.03 ( 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))
% 11.91/12.03 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4288]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19264,plain,
% 11.91/12.03 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.91/12.03 | 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)) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19263]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4285,plain,
% 11.91/12.03 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.03 | ~ c_lessequals(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),X1)
% 11.91/12.03 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6774_2) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19257,plain,
% 11.91/12.03 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.03 | ~ c_lessequals(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),X1)
% 11.91/12.03 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4285]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19258,plain,
% 11.91/12.03 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.91/12.03 | ~ c_lessequals(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)
% 11.91/12.03 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19257]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4282,plain,
% 11.91/12.03 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.03 | ~ c_lessequals(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),X1)
% 11.91/12.03 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6775_2) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19251,plain,
% 11.91/12.03 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.03 | ~ c_lessequals(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),X1)
% 11.91/12.03 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4282]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19252,plain,
% 11.91/12.03 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.91/12.03 | ~ c_lessequals(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)
% 11.91/12.03 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19251]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4280,plain,
% 11.91/12.03 ( ~ 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)
% 11.91/12.03 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6776_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19247,plain,
% 11.91/12.03 ( ~ 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)
% 11.91/12.03 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4280]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19248,plain,
% 11.91/12.03 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.91/12.03 | ~ 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) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19247]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4278,plain,
% 11.91/12.03 ( 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))
% 11.91/12.03 | ~ c_OrderedGroup_Omonoid__mult(X1,X0,X2) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6777_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19243,plain,
% 11.91/12.03 ( 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))
% 11.91/12.03 | ~ c_OrderedGroup_Omonoid__mult(X1,X0,X2) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4278]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19244,plain,
% 11.91/12.03 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 11.91/12.03 | 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)) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19243]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4276,plain,
% 11.91/12.03 ( 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))
% 11.91/12.03 | ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6778_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19239,plain,
% 11.91/12.03 ( 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))
% 11.91/12.03 | ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4276]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19240,plain,
% 11.91/12.03 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 11.91/12.03 | 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)) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19239]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4273,plain,
% 11.91/12.03 ( X0 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X4)),X5)
% 11.91/12.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5)
% 11.91/12.03 | ~ class_Ring__and__Field_Oring(X1) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6779_2) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19233,plain,
% 11.91/12.03 ( X0 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X4)),X5)
% 11.91/12.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5)
% 11.91/12.03 | ~ class_Ring__and__Field_Oring(X1) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4273]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19234,plain,
% 11.91/12.03 ( ~ class_Ring__and__Field_Oring(X0)
% 11.91/12.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5)
% 11.91/12.03 | X3 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19233]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4270,plain,
% 11.91/12.03 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4) = X5
% 11.91/12.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5)
% 11.91/12.03 | ~ class_Ring__and__Field_Oring(X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6780_2) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19227,plain,
% 11.91/12.03 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4) = X5
% 11.91/12.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5)
% 11.91/12.03 | ~ class_Ring__and__Field_Oring(X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4270]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19228,plain,
% 11.91/12.03 ( ~ class_Ring__and__Field_Oring(X0)
% 11.91/12.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4) = X5
% 11.91/12.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19227]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4268,plain,
% 11.91/12.03 ( 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))
% 11.91/12.03 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6781_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19223,plain,
% 11.91/12.03 ( 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))
% 11.91/12.03 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4268]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19224,plain,
% 11.91/12.03 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.91/12.03 | 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)) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19223]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4266,plain,
% 11.91/12.03 ( 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))
% 11.91/12.03 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6782_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19219,plain,
% 11.91/12.03 ( 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))
% 11.91/12.03 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4266]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19220,plain,
% 11.91/12.03 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.91/12.03 | 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)) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19219]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4258,plain,
% 11.91/12.03 ( 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)
% 11.91/12.03 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6785_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19203,plain,
% 11.91/12.03 ( 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)
% 11.91/12.03 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4258]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19204,plain,
% 11.91/12.03 ( ~ class_Ring__and__Field_Osemiring(X0)
% 11.91/12.03 | 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) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19203]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4256,plain,
% 11.91/12.03 ( 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))
% 11.91/12.03 | ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6787_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19199,plain,
% 11.91/12.03 ( 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))
% 11.91/12.03 | ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4256]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19200,plain,
% 11.91/12.03 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 11.91/12.03 | 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)) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19199]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4254,plain,
% 11.91/12.03 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.91/12.03 | hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ominus__class_Ominus(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),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat))) = 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) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6788_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19195,plain,
% 11.91/12.03 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.91/12.03 | hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ominus__class_Ominus(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),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat))) = 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) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4254]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19196,plain,
% 11.91/12.03 ( hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ominus__class_Ominus(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),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat))) = 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)
% 11.91/12.03 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19195]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4252,plain,
% 11.91/12.03 ( 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))
% 11.91/12.03 | ~ c_OrderedGroup_Omonoid__mult(X1,X0,X2) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6789_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19191,plain,
% 11.91/12.03 ( 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))
% 11.91/12.03 | ~ c_OrderedGroup_Omonoid__mult(X1,X0,X2) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4252]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19192,plain,
% 11.91/12.03 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 11.91/12.03 | 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)) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19191]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4247,plain,
% 11.91/12.03 ( 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))
% 11.91/12.03 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6792_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19181,plain,
% 11.91/12.03 ( 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))
% 11.91/12.03 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4247]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19182,plain,
% 11.91/12.03 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.91/12.03 | 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)) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19181]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4245,plain,
% 11.91/12.03 ( ~ 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)
% 11.91/12.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6793_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19177,plain,
% 11.91/12.03 ( ~ 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)
% 11.91/12.03 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4245]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19178,plain,
% 11.91/12.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.91/12.03 | ~ 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) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19177]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4243,plain,
% 11.91/12.03 ( c_lessequals(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),X0)
% 11.91/12.03 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6794_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19173,plain,
% 11.91/12.03 ( c_lessequals(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),X0)
% 11.91/12.03 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4243]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19174,plain,
% 11.91/12.03 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.91/12.03 | c_lessequals(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),X0) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19173]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4242,plain,
% 11.91/12.03 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.91/12.03 | 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)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2))
% 11.91/12.03 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.91/12.03 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6796_0) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19171,plain,
% 11.91/12.03 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.91/12.03 | 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)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2))
% 11.91/12.03 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.91/12.03 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4242]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4239,plain,
% 11.91/12.03 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.03 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.03 | 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)),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0))),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0)),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2))
% 11.91/12.03 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6796_3) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19165,plain,
% 11.91/12.03 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.03 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.03 | 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)),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0))),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0)),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2))
% 11.91/12.03 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4239]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19166,plain,
% 11.91/12.03 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.91/12.03 | 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)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2))
% 11.91/12.03 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 11.91/12.03 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19165]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4236,plain,
% 11.91/12.03 ( 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)
% 11.91/12.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.91/12.03 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6797_2) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19159,plain,
% 11.91/12.03 ( 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)
% 11.91/12.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.91/12.03 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4236]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19160,plain,
% 11.91/12.03 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.91/12.03 | 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)
% 11.91/12.03 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19159]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4234,plain,
% 11.91/12.03 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.91/12.03 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),c_Fact_Ofact__class_Ofact(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1),tc_nat)) = c_Fact_Ofact__class_Ofact(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6798_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19155,plain,
% 11.91/12.03 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.91/12.03 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),c_Fact_Ofact__class_Ofact(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1),tc_nat)) = c_Fact_Ofact__class_Ofact(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4234]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19156,plain,
% 11.91/12.03 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),c_Fact_Ofact__class_Ofact(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1),tc_nat)) = c_Fact_Ofact__class_Ofact(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 11.91/12.03 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19155]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4232,plain,
% 11.91/12.03 ( 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))
% 11.91/12.03 | ~ c_OrderedGroup_Omonoid__mult(X1,X0,X2) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6799_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19151,plain,
% 11.91/12.03 ( 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))
% 11.91/12.03 | ~ c_OrderedGroup_Omonoid__mult(X1,X0,X2) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4232]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19152,plain,
% 11.91/12.03 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 11.91/12.03 | 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)) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19151]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4230,plain,
% 11.91/12.03 ( 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)))
% 11.91/12.03 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6800_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19147,plain,
% 11.91/12.03 ( 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)))
% 11.91/12.03 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4230]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19148,plain,
% 11.91/12.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.91/12.03 | 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))) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19147]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4227,plain,
% 11.91/12.03 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.03 | 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)
% 11.91/12.03 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6801_2) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19141,plain,
% 11.91/12.03 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.03 | 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)
% 11.91/12.03 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4227]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19142,plain,
% 11.91/12.03 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.91/12.03 | 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)
% 11.91/12.03 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19141]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4224,plain,
% 11.91/12.03 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.03 | 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)
% 11.91/12.03 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6802_2) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19135,plain,
% 11.91/12.03 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.03 | 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)
% 11.91/12.03 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.91/12.03 inference(copy,[status(esa)],[c_4224]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19136,plain,
% 11.91/12.03 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.91/12.03 | 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)
% 11.91/12.03 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.03 inference(rewriting,[status(thm)],[c_19135]) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_4222,plain,
% 11.91/12.03 ( c_lessequals(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)
% 11.91/12.03 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.91/12.03 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6804_1) ).
% 11.91/12.03
% 11.91/12.03 cnf(c_19131,plain,
% 11.91/12.03 ( c_lessequals(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)
% 11.91/12.04 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4222]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_19132,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.91/12.04 | c_lessequals(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) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_19131]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4220,plain,
% 11.91/12.04 ( 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)))
% 11.91/12.04 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6805_1) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_19127,plain,
% 11.91/12.04 ( 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)))
% 11.91/12.04 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4220]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_19128,plain,
% 11.91/12.04 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 11.91/12.04 | 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))) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_19127]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4219,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.91/12.04 | 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))
% 11.91/12.04 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.91/12.04 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6806_0) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_19125,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.91/12.04 | 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))
% 11.91/12.04 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.91/12.04 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4219]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4216,plain,
% 11.91/12.04 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | 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))
% 11.91/12.04 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6806_3) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_19119,plain,
% 11.91/12.04 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | 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))
% 11.91/12.04 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4216]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_19120,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.91/12.04 | 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))
% 11.91/12.04 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 11.91/12.04 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_19119]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4213,plain,
% 11.91/12.04 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | ~ c_lessequals(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),X1)
% 11.91/12.04 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6807_2) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_19113,plain,
% 11.91/12.04 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | ~ c_lessequals(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),X1)
% 11.91/12.04 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4213]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_19114,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.91/12.04 | ~ c_lessequals(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)
% 11.91/12.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_19113]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4210,plain,
% 11.91/12.04 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | ~ c_lessequals(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),X1)
% 11.91/12.04 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6808_2) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_19107,plain,
% 11.91/12.04 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | ~ c_lessequals(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),X1)
% 11.91/12.04 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4210]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_19108,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.91/12.04 | ~ c_lessequals(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)
% 11.91/12.04 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_19107]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4208,plain,
% 11.91/12.04 ( ~ 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)
% 11.91/12.04 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6809_1) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_19103,plain,
% 11.91/12.04 ( ~ 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)
% 11.91/12.04 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4208]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_19104,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.91/12.04 | ~ 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) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_19103]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4204,plain,
% 11.91/12.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)),c_Divides_Odiv__class_Omod(X1,X2,X0)) = X1
% 11.91/12.04 | ~ class_Divides_Osemiring__div(X0) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6811_1) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_19095,plain,
% 11.91/12.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)),c_Divides_Odiv__class_Omod(X1,X2,X0)) = X1
% 11.91/12.04 | ~ class_Divides_Osemiring__div(X0) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4204]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_19096,plain,
% 11.91/12.04 ( ~ class_Divides_Osemiring__div(X0)
% 11.91/12.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)),c_Divides_Odiv__class_Omod(X1,X2,X0)) = X1 ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_19095]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4203,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.91/12.04 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2))
% 11.91/12.04 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.91/12.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6812_0) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_19093,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.91/12.04 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2))
% 11.91/12.04 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.91/12.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4203]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4200,plain,
% 11.91/12.04 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2))),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0)),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2))
% 11.91/12.04 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6812_3) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_19087,plain,
% 11.91/12.04 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2))),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0)),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2))
% 11.91/12.04 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4200]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_19088,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.91/12.04 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2))
% 11.91/12.04 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 11.91/12.04 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_19087]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4199,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.91/12.04 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),c_HOL_Ominus__class_Ominus(X2,X1,X0))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 11.91/12.04 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.91/12.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6813_0) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_19085,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.91/12.04 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),c_HOL_Ominus__class_Ominus(X2,X1,X0))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 11.91/12.04 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.91/12.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4199]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4196,plain,
% 11.91/12.04 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0)),c_HOL_Ominus__class_Ominus(X2,X0,X1))),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2)) = c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2),X1)
% 11.91/12.04 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6813_3) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_19079,plain,
% 11.91/12.04 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0)),c_HOL_Ominus__class_Ominus(X2,X0,X1))),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2)) = c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2),X1)
% 11.91/12.04 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4196]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_19080,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.91/12.04 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),c_HOL_Ominus__class_Ominus(X2,X1,X0))),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 11.91/12.04 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 11.91/12.04 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_19079]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4162,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.91/12.04 | ~ class_Int_Onumber__ring(X0)
% 11.91/12.04 | 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),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))
% 11.91/12.04 | X2 = X4
% 11.91/12.04 | X1 = X3 ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6819_0) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_19011,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.91/12.04 | ~ class_Int_Onumber__ring(X0)
% 11.91/12.04 | 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),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))
% 11.91/12.04 | X2 = X4
% 11.91/12.04 | X1 = X3 ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4162]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4158,plain,
% 11.91/12.04 ( X0 = X1
% 11.91/12.04 | X2 = X3
% 11.91/12.04 | 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))
% 11.91/12.04 | ~ class_Int_Onumber__ring(X4)
% 11.91/12.04 | ~ class_Ring__and__Field_Oidom(X4) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6819_4) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_19003,plain,
% 11.91/12.04 ( X0 = X1
% 11.91/12.04 | X2 = X3
% 11.91/12.04 | 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))
% 11.91/12.04 | ~ class_Int_Onumber__ring(X4)
% 11.91/12.04 | ~ class_Ring__and__Field_Oidom(X4) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4158]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_19004,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.91/12.04 | ~ class_Int_Onumber__ring(X0)
% 11.91/12.04 | 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),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))
% 11.91/12.04 | X1 = X3
% 11.91/12.04 | X2 = X4 ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_19003]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4155,plain,
% 11.91/12.04 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(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)),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.91/12.04 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6820_2) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18997,plain,
% 11.91/12.04 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(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)),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.91/12.04 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4155]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18998,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.91/12.04 | ~ c_lessequals(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)),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.91/12.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18997]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4124,plain,
% 11.91/12.04 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | 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)
% 11.91/12.04 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6826_2) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18935,plain,
% 11.91/12.04 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | 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)
% 11.91/12.04 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4124]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18936,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.91/12.04 | 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)
% 11.91/12.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18935]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4121,plain,
% 11.91/12.04 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | 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)
% 11.91/12.04 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6827_2) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18929,plain,
% 11.91/12.04 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | 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)
% 11.91/12.04 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4121]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18930,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.91/12.04 | 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)
% 11.91/12.04 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18929]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4091,plain,
% 11.91/12.04 ( c_lessequals(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),X0)
% 11.91/12.04 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6832_1) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18869,plain,
% 11.91/12.04 ( c_lessequals(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),X0)
% 11.91/12.04 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4091]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18870,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.91/12.04 | c_lessequals(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),X0) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18869]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4087,plain,
% 11.91/12.04 ( 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))
% 11.91/12.04 | X1 = X3
% 11.91/12.04 | X0 = X2 ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6834_0) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18861,plain,
% 11.91/12.04 ( 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))
% 11.91/12.04 | X1 = X3
% 11.91/12.04 | X0 = X2 ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4087]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4085,plain,
% 11.91/12.04 ( X0 = X1
% 11.91/12.04 | X2 = X3
% 11.91/12.04 | 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)) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6834_2) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18857,plain,
% 11.91/12.04 ( X0 = X1
% 11.91/12.04 | X2 = X3
% 11.91/12.04 | 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)) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4085]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18858,plain,
% 11.91/12.04 ( 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))
% 11.91/12.04 | X0 = X2
% 11.91/12.04 | X1 = X3 ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18857]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4055,plain,
% 11.91/12.04 ( 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))
% 11.91/12.04 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6839_1) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18797,plain,
% 11.91/12.04 ( 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))
% 11.91/12.04 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4055]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18798,plain,
% 11.91/12.04 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.91/12.04 | 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)) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18797]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4053,plain,
% 11.91/12.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.91/12.04 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),c_Fact_Ofact__class_Ofact(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)) = c_Fact_Ofact__class_Ofact(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6840_1) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18793,plain,
% 11.91/12.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.91/12.04 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),c_Fact_Ofact__class_Ofact(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)) = c_Fact_Ofact__class_Ofact(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4053]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4051,plain,
% 11.91/12.04 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.91/12.04 | 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)))),c_Divides_Odiv__class_Odiv(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat))) = X0 ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6841_1) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18789,plain,
% 11.91/12.04 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.91/12.04 | 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)))),c_Divides_Odiv__class_Odiv(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat))) = X0 ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4051]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4047,plain,
% 11.91/12.04 ( hBOOL(hAPP(X0,X1))
% 11.91/12.04 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X2,tc_nat))) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6843_1) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18781,plain,
% 11.91/12.04 ( hBOOL(hAPP(X0,X1))
% 11.91/12.04 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X2,tc_nat))) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4047]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18782,plain,
% 11.91/12.04 ( ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat)))
% 11.91/12.04 | hBOOL(hAPP(X0,X2)) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18781]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4044,plain,
% 11.91/12.04 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat))),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X2),X3,tc_nat))
% 11.91/12.04 | ~ c_lessequals(X3,X2,tc_nat)
% 11.91/12.04 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6844_2) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18775,plain,
% 11.91/12.04 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat))),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X2),X3,tc_nat))
% 11.91/12.04 | ~ c_lessequals(X3,X2,tc_nat)
% 11.91/12.04 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4044]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18776,plain,
% 11.91/12.04 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 11.91/12.04 | ~ c_lessequals(X1,X2,tc_nat)
% 11.91/12.04 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat))),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X2),X1,tc_nat)) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18775]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4042,plain,
% 11.91/12.04 ( 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)
% 11.91/12.04 | ~ class_Divides_Osemiring__div(X0) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6845_1) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18771,plain,
% 11.91/12.04 ( 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)
% 11.91/12.04 | ~ class_Divides_Osemiring__div(X0) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4042]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18772,plain,
% 11.91/12.04 ( ~ class_Divides_Osemiring__div(X0)
% 11.91/12.04 | 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) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18771]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4040,plain,
% 11.91/12.04 ( 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)
% 11.91/12.04 | ~ class_Divides_Osemiring__div(X0) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6846_1) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18767,plain,
% 11.91/12.04 ( 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)
% 11.91/12.04 | ~ class_Divides_Osemiring__div(X0) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4040]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18768,plain,
% 11.91/12.04 ( ~ class_Divides_Osemiring__div(X0)
% 11.91/12.04 | 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) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18767]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4039,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.91/12.04 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(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),X4),X2),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 11.91/12.04 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.91/12.04 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6847_0) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18765,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.91/12.04 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(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),X4),X2),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 11.91/12.04 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.91/12.04 | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4039]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4036,plain,
% 11.91/12.04 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X3,X0,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
% 11.91/12.04 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6847_3) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18759,plain,
% 11.91/12.04 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X3,X0,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
% 11.91/12.04 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4036]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18760,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.91/12.04 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(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),X4),X2),X0) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 11.91/12.04 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 11.91/12.04 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18759]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4034,plain,
% 11.91/12.04 ( ~ c_Parity_Oeven__odd__class_Oeven(c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat)
% 11.91/12.04 | 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) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6849_1) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18755,plain,
% 11.91/12.04 ( ~ c_Parity_Oeven__odd__class_Oeven(c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat)
% 11.91/12.04 | 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) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4034]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4032,plain,
% 11.91/12.04 ( 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))
% 11.91/12.04 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6850_1) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18751,plain,
% 11.91/12.04 ( 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))
% 11.91/12.04 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4032]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18752,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.91/12.04 | 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)) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18751]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4030,plain,
% 11.91/12.04 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0))),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)),X1)
% 11.91/12.04 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6851_1) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18747,plain,
% 11.91/12.04 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0))),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)),X1)
% 11.91/12.04 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4030]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18748,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Oring__1(X0)
% 11.91/12.04 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0))),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)),X1) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18747]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4027,plain,
% 11.91/12.04 ( 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))
% 11.91/12.04 | ~ class_Int_Onumber(X0)
% 11.91/12.04 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6852_2) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18741,plain,
% 11.91/12.04 ( 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))
% 11.91/12.04 | ~ class_Int_Onumber(X0)
% 11.91/12.04 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4027]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18742,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Osemiring(X0)
% 11.91/12.04 | ~ class_Int_Onumber(X0)
% 11.91/12.04 | 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)) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18741]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4023,plain,
% 11.91/12.04 ( c_lessequals(X0,X1,X2)
% 11.91/12.04 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X2),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(X2),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)
% 11.91/12.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.91/12.04 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6853_3) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18733,plain,
% 11.91/12.04 ( c_lessequals(X0,X1,X2)
% 11.91/12.04 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X2),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(X2),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)
% 11.91/12.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.91/12.04 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4023]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18734,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.91/12.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.91/12.04 | ~ c_lessequals(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_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0)
% 11.91/12.04 | c_lessequals(X2,X1,X0) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18733]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4019,plain,
% 11.91/12.04 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.91/12.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X2),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(X2),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)
% 11.91/12.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.91/12.04 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6854_3) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18725,plain,
% 11.91/12.04 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.91/12.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X2),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(X2),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X2)
% 11.91/12.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.91/12.04 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4019]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18726,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.91/12.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.91/12.04 | ~ c_HOL_Oord__class_Oless(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_Power_Opower__class_Opower(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),X0)
% 11.91/12.04 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18725]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4017,plain,
% 11.91/12.04 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X0),X1,tc_nat)),c_Fact_Ofact__class_Ofact(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)) = c_Fact_Ofact__class_Ofact(c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X0),X1,tc_nat),tc_nat)
% 11.91/12.04 | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_Suc,X0),tc_nat) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6855_1) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18721,plain,
% 11.91/12.04 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X0),X1,tc_nat)),c_Fact_Ofact__class_Ofact(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)) = c_Fact_Ofact__class_Ofact(c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X0),X1,tc_nat),tc_nat)
% 11.91/12.04 | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_Suc,X0),tc_nat) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4017]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18722,plain,
% 11.91/12.04 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 11.91/12.04 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X1),X0,tc_nat)),c_Fact_Ofact__class_Ofact(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)) = c_Fact_Ofact__class_Ofact(c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X1),X0,tc_nat),tc_nat) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18721]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_4015,plain,
% 11.91/12.04 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.91/12.04 | hAPP(c_Suc,c_HOL_Ominus__class_Ominus(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),c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = 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) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6856_1) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18717,plain,
% 11.91/12.04 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.91/12.04 | hAPP(c_Suc,c_HOL_Ominus__class_Ominus(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),c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = 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) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_4015]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18718,plain,
% 11.91/12.04 ( hAPP(c_Suc,c_HOL_Ominus__class_Ominus(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),c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = 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)
% 11.91/12.04 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18717]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_3956,plain,
% 11.91/12.04 ( 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))
% 11.91/12.04 | ~ class_Int_Onumber(X0)
% 11.91/12.04 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6866_2) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18599,plain,
% 11.91/12.04 ( 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))
% 11.91/12.04 | ~ class_Int_Onumber(X0)
% 11.91/12.04 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_3956]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18600,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Osemiring(X0)
% 11.91/12.04 | ~ class_Int_Onumber(X0)
% 11.91/12.04 | 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)) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18599]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_3950,plain,
% 11.91/12.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)) = X1
% 11.91/12.04 | ~ class_Divides_Osemiring__div(X0) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6868_1) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18587,plain,
% 11.91/12.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)) = X1
% 11.91/12.04 | ~ class_Divides_Osemiring__div(X0) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_3950]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18588,plain,
% 11.91/12.04 ( ~ class_Divides_Osemiring__div(X0)
% 11.91/12.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)) = X1 ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18587]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_3948,plain,
% 11.91/12.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0))),c_Divides_Odiv__class_Omod(X2,X1,X0)) = X2
% 11.91/12.04 | ~ class_Divides_Osemiring__div(X0) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6869_1) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18583,plain,
% 11.91/12.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0))),c_Divides_Odiv__class_Omod(X2,X1,X0)) = X2
% 11.91/12.04 | ~ class_Divides_Osemiring__div(X0) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_3948]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18584,plain,
% 11.91/12.04 ( ~ class_Divides_Osemiring__div(X0)
% 11.91/12.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0))),c_Divides_Odiv__class_Omod(X2,X1,X0)) = X2 ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18583]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_3917,plain,
% 11.91/12.04 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | 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)
% 11.91/12.04 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6874_2) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18521,plain,
% 11.91/12.04 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | 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)
% 11.91/12.04 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_3917]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18522,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.91/12.04 | 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)
% 11.91/12.04 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18521]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_3914,plain,
% 11.91/12.04 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | 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)
% 11.91/12.04 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6875_2) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18515,plain,
% 11.91/12.04 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.91/12.04 | 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)
% 11.91/12.04 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_3914]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18516,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.91/12.04 | 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)
% 11.91/12.04 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18515]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_3884,plain,
% 11.91/12.04 ( c_lessequals(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)
% 11.91/12.04 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6880_1) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18455,plain,
% 11.91/12.04 ( c_lessequals(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)
% 11.91/12.04 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_3884]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18456,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.91/12.04 | c_lessequals(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) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18455]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_3854,plain,
% 11.91/12.04 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(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))) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0))
% 11.91/12.04 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6885_1) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18395,plain,
% 11.91/12.04 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(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))) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0))
% 11.91/12.04 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_3854]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18396,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 11.91/12.04 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(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))) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0)) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18395]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_3804,plain,
% 11.91/12.04 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X3,X1,X2),X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 11.91/12.04 | ~ class_Divides_Oring__div(X2) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6894_1) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18295,plain,
% 11.91/12.04 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X3,X1,X2),X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 11.91/12.04 | ~ class_Divides_Oring__div(X2) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_3804]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18296,plain,
% 11.91/12.04 ( ~ class_Divides_Oring__div(X0)
% 11.91/12.04 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18295]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_3800,plain,
% 11.91/12.04 ( 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)
% 11.91/12.04 | ~ class_Divides_Osemiring__div(X0) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6896_1) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18287,plain,
% 11.91/12.04 ( 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)
% 11.91/12.04 | ~ class_Divides_Osemiring__div(X0) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_3800]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18288,plain,
% 11.91/12.04 ( ~ class_Divides_Osemiring__div(X0)
% 11.91/12.04 | 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) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18287]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_3796,plain,
% 11.91/12.04 ( 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)
% 11.91/12.04 | ~ class_Divides_Osemiring__div(X0) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6898_1) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18279,plain,
% 11.91/12.04 ( 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)
% 11.91/12.04 | ~ class_Divides_Osemiring__div(X0) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_3796]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18280,plain,
% 11.91/12.04 ( ~ class_Divides_Osemiring__div(X0)
% 11.91/12.04 | 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) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18279]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_3738,plain,
% 11.91/12.04 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(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(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))
% 11.91/12.04 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 11.91/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6907_1) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18163,plain,
% 11.91/12.04 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(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(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))
% 11.91/12.04 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 11.91/12.04 inference(copy,[status(esa)],[c_3738]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_18164,plain,
% 11.91/12.04 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 11.91/12.04 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(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(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)) ),
% 11.91/12.04 inference(rewriting,[status(thm)],[c_18163]) ).
% 11.91/12.04
% 11.91/12.04 cnf(c_3735,plain,
% 11.91/12.04 ( 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)
% 11.91/12.04 | ~ c_HOL_Oord__class_Oless(X0,X2,X1)
% 11.91/12.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.93/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6908_2) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_18157,plain,
% 11.93/12.04 ( 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)
% 11.93/12.04 | ~ c_HOL_Oord__class_Oless(X0,X2,X1)
% 11.93/12.04 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.93/12.04 inference(copy,[status(esa)],[c_3735]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_3732,plain,
% 11.93/12.04 ( 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)
% 11.93/12.04 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.93/12.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6909_2) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_18151,plain,
% 11.93/12.04 ( 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)
% 11.93/12.04 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.93/12.04 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.04 inference(copy,[status(esa)],[c_3732]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_3698,plain,
% 11.93/12.04 ( 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))
% 11.93/12.04 | ~ class_Int_Onumber__ring(X0)
% 11.93/12.04 | ~ class_Ring__and__Field_Oidom(X0) ),
% 11.93/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6915_2) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_18083,plain,
% 11.93/12.04 ( 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))
% 11.93/12.04 | ~ class_Int_Onumber__ring(X0)
% 11.93/12.04 | ~ class_Ring__and__Field_Oidom(X0) ),
% 11.93/12.04 inference(copy,[status(esa)],[c_3698]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_18084,plain,
% 11.93/12.04 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.93/12.04 | ~ class_Int_Onumber__ring(X0)
% 11.93/12.04 | 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)) ),
% 11.93/12.04 inference(rewriting,[status(thm)],[c_18083]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_3696,plain,
% 11.93/12.04 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),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)),X0)
% 11.93/12.04 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6916_1) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_18079,plain,
% 11.93/12.04 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),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)),X0)
% 11.93/12.04 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.04 inference(copy,[status(esa)],[c_3696]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_18080,plain,
% 11.93/12.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.04 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),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)),X0) ),
% 11.93/12.04 inference(rewriting,[status(thm)],[c_18079]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_3694,plain,
% 11.93/12.04 ( 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)
% 11.93/12.04 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6917_1) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_18075,plain,
% 11.93/12.04 ( 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)
% 11.93/12.04 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.04 inference(copy,[status(esa)],[c_3694]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_18076,plain,
% 11.93/12.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.04 | 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) ),
% 11.93/12.04 inference(rewriting,[status(thm)],[c_18075]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_3692,plain,
% 11.93/12.04 ( 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))
% 11.93/12.04 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6918_1) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_18071,plain,
% 11.93/12.04 ( 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))
% 11.93/12.04 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.04 inference(copy,[status(esa)],[c_3692]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_18072,plain,
% 11.93/12.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.04 | 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)) ),
% 11.93/12.04 inference(rewriting,[status(thm)],[c_18071]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_3690,plain,
% 11.93/12.04 ( 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)))
% 11.93/12.04 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6919_1) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_18067,plain,
% 11.93/12.04 ( 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)))
% 11.93/12.04 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.04 inference(copy,[status(esa)],[c_3690]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_18068,plain,
% 11.93/12.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.04 | 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))) ),
% 11.93/12.04 inference(rewriting,[status(thm)],[c_18067]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_3688,plain,
% 11.93/12.04 ( 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))
% 11.93/12.04 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6920_1) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_18063,plain,
% 11.93/12.04 ( 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))
% 11.93/12.04 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.04 inference(copy,[status(esa)],[c_3688]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_18064,plain,
% 11.93/12.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.04 | 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)) ),
% 11.93/12.04 inference(rewriting,[status(thm)],[c_18063]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_3639,plain,
% 11.93/12.04 ( c_lessequals(X0,X1,X2)
% 11.93/12.04 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),hAPP(c_Suc,X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),hAPP(c_Suc,X3)),X2)
% 11.93/12.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.93/12.04 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.93/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6929_3) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_17965,plain,
% 11.93/12.04 ( c_lessequals(X0,X1,X2)
% 11.93/12.04 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),hAPP(c_Suc,X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),hAPP(c_Suc,X3)),X2)
% 11.93/12.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.93/12.04 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.93/12.04 inference(copy,[status(esa)],[c_3639]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_17966,plain,
% 11.93/12.04 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.93/12.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.04 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),hAPP(c_Suc,X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X3)),X0)
% 11.93/12.04 | c_lessequals(X2,X1,X0) ),
% 11.93/12.04 inference(rewriting,[status(thm)],[c_17965]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_3637,plain,
% 11.93/12.04 ( c_lessequals(X0,X1,tc_nat)
% 11.93/12.04 | ~ c_lessequals(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) ),
% 11.93/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6930_1) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_17961,plain,
% 11.93/12.04 ( c_lessequals(X0,X1,tc_nat)
% 11.93/12.04 | ~ c_lessequals(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) ),
% 11.93/12.04 inference(copy,[status(esa)],[c_3637]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_17962,plain,
% 11.93/12.04 ( ~ c_lessequals(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)
% 11.93/12.04 | c_lessequals(X1,X2,tc_nat) ),
% 11.93/12.04 inference(rewriting,[status(thm)],[c_17961]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_3635,plain,
% 11.93/12.04 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.04 | ~ 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) ),
% 11.93/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6931_1) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_17957,plain,
% 11.93/12.04 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.04 | ~ 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) ),
% 11.93/12.04 inference(copy,[status(esa)],[c_3635]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_17958,plain,
% 11.93/12.04 ( ~ 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)
% 11.93/12.04 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.93/12.04 inference(rewriting,[status(thm)],[c_17957]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_3585,plain,
% 11.93/12.04 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Int_Onumber__class_Onumber__of(c_Int_OMin,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_Int_Onumber__class_Onumber__of(c_Int_OMin,X0)
% 11.93/12.04 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6940_1) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_17857,plain,
% 11.93/12.04 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Int_Onumber__class_Onumber__of(c_Int_OMin,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_Int_Onumber__class_Onumber__of(c_Int_OMin,X0)
% 11.93/12.04 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.04 inference(copy,[status(esa)],[c_3585]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_17858,plain,
% 11.93/12.04 ( ~ class_Int_Onumber__ring(X0)
% 11.93/12.04 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Int_Onumber__class_Onumber__of(c_Int_OMin,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_Int_Onumber__class_Onumber__of(c_Int_OMin,X0) ),
% 11.93/12.04 inference(rewriting,[status(thm)],[c_17857]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_3583,plain,
% 11.93/12.04 ( 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))
% 11.93/12.04 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6941_1) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_17853,plain,
% 11.93/12.04 ( 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))
% 11.93/12.04 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.04 inference(copy,[status(esa)],[c_3583]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_17854,plain,
% 11.93/12.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.04 | 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)) ),
% 11.93/12.04 inference(rewriting,[status(thm)],[c_17853]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_3581,plain,
% 11.93/12.04 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),hAPP(c_Suc,c_Divides_Odiv__class_Odiv(X0,X1,tc_nat))),tc_nat)
% 11.93/12.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.93/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6942_1) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_17849,plain,
% 11.93/12.04 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),hAPP(c_Suc,c_Divides_Odiv__class_Odiv(X0,X1,tc_nat))),tc_nat)
% 11.93/12.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.93/12.04 inference(copy,[status(esa)],[c_3581]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_17850,plain,
% 11.93/12.04 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.04 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),hAPP(c_Suc,c_Divides_Odiv__class_Odiv(X1,X0,tc_nat))),tc_nat) ),
% 11.93/12.04 inference(rewriting,[status(thm)],[c_17849]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_3550,plain,
% 11.93/12.04 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X2),X3,X2)
% 11.93/12.04 | c_Divides_Odiv__class_Omod(X0,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
% 11.93/12.04 | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X5,X3,X2)
% 11.93/12.04 | ~ class_Divides_Oring__div(X2) ),
% 11.93/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6948_3) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_17787,plain,
% 11.93/12.04 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X2),X3,X2)
% 11.93/12.04 | c_Divides_Odiv__class_Omod(X0,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
% 11.93/12.04 | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X5,X3,X2)
% 11.93/12.04 | ~ class_Divides_Oring__div(X2) ),
% 11.93/12.04 inference(copy,[status(esa)],[c_3550]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_17788,plain,
% 11.93/12.04 ( ~ class_Divides_Oring__div(X0)
% 11.93/12.04 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 11.93/12.04 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 11.93/12.04 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 11.93/12.04 inference(rewriting,[status(thm)],[c_17787]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_3539,plain,
% 11.93/12.04 ( 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)
% 11.93/12.04 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 11.93/12.04 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 11.93/12.04 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6951_3) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_17765,plain,
% 11.93/12.04 ( 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)
% 11.93/12.04 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 11.93/12.04 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 11.93/12.04 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.04 inference(copy,[status(esa)],[c_3539]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_17766,plain,
% 11.93/12.04 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.04 | 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)
% 11.93/12.04 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 11.93/12.04 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 11.93/12.04 inference(rewriting,[status(thm)],[c_17765]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_3535,plain,
% 11.93/12.04 ( 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)
% 11.93/12.04 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 11.93/12.04 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 11.93/12.04 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6952_3) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_17757,plain,
% 11.93/12.04 ( 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)
% 11.93/12.04 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 11.93/12.04 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 11.93/12.04 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.04 inference(copy,[status(esa)],[c_3535]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_17758,plain,
% 11.93/12.04 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.04 | 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)
% 11.93/12.04 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 11.93/12.04 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 11.93/12.04 inference(rewriting,[status(thm)],[c_17757]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_3529,plain,
% 11.93/12.04 ( c_Parity_Oeven__odd__class_Oeven(c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat)
% 11.93/12.04 | 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) ),
% 11.93/12.04 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6954_1) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_17745,plain,
% 11.93/12.04 ( c_Parity_Oeven__odd__class_Oeven(c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat)
% 11.93/12.04 | 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) ),
% 11.93/12.04 inference(copy,[status(esa)],[c_3529]) ).
% 11.93/12.04
% 11.93/12.04 cnf(c_3520,plain,
% 11.93/12.04 ( 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))
% 11.93/12.05 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6957_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17727,plain,
% 11.93/12.05 ( 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))
% 11.93/12.05 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3520]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17728,plain,
% 11.93/12.05 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 11.93/12.05 | 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)) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17727]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3500,plain,
% 11.93/12.05 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X3,X0)),c_HOL_Ominus__class_Ominus(X2,X4,X0))
% 11.93/12.05 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6961_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17687,plain,
% 11.93/12.05 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X3,X0)),c_HOL_Ominus__class_Ominus(X2,X4,X0))
% 11.93/12.05 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3500]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17688,plain,
% 11.93/12.05 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 11.93/12.05 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X3,X0)),c_HOL_Ominus__class_Ominus(X2,X4,X0)) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17687]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3495,plain,
% 11.93/12.05 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.93/12.05 | ~ c_lessequals(X1,X2,tc_nat)
% 11.93/12.05 | ~ c_lessequals(X1,X0,tc_nat)
% 11.93/12.05 | c_lessequals(X0,X2,tc_nat) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6965_0) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17677,plain,
% 11.93/12.05 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.93/12.05 | ~ c_lessequals(X1,X2,tc_nat)
% 11.93/12.05 | ~ c_lessequals(X1,X0,tc_nat)
% 11.93/12.05 | c_lessequals(X0,X2,tc_nat) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3495]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3494,plain,
% 11.93/12.05 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.93/12.05 | ~ c_lessequals(X1,X2,tc_nat)
% 11.93/12.05 | c_lessequals(X0,X2,tc_nat)
% 11.93/12.05 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6965_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17675,plain,
% 11.93/12.05 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.93/12.05 | ~ c_lessequals(X1,X2,tc_nat)
% 11.93/12.05 | c_lessequals(X0,X2,tc_nat)
% 11.93/12.05 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3494]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3492,plain,
% 11.93/12.05 ( c_lessequals(X0,X1,tc_nat)
% 11.93/12.05 | ~ c_lessequals(X2,X0,tc_nat)
% 11.93/12.05 | ~ c_lessequals(X2,X1,tc_nat)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6965_3) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17671,plain,
% 11.93/12.05 ( c_lessequals(X0,X1,tc_nat)
% 11.93/12.05 | ~ c_lessequals(X2,X0,tc_nat)
% 11.93/12.05 | ~ c_lessequals(X2,X1,tc_nat)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3492]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17672,plain,
% 11.93/12.05 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.93/12.05 | c_lessequals(X0,X2,tc_nat)
% 11.93/12.05 | ~ c_lessequals(X1,X0,tc_nat)
% 11.93/12.05 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17671]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3476,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.05 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.93/12.05 | ~ c_lessequals(X2,X3,X0)
% 11.93/12.05 | ~ c_lessequals(X1,X4,X0)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6968_3) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17639,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.05 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.93/12.05 | ~ c_lessequals(X2,X3,X0)
% 11.93/12.05 | ~ c_lessequals(X1,X4,X0)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3476]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17640,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.05 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.93/12.05 | ~ c_lessequals(X2,X3,X0)
% 11.93/12.05 | ~ c_lessequals(X1,X4,X0) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17639]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3470,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.05 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.93/12.05 | ~ c_lessequals(X2,X3,X0)
% 11.93/12.05 | ~ c_lessequals(X1,X4,X0)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6969_3) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17627,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.05 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.93/12.05 | ~ c_lessequals(X2,X3,X0)
% 11.93/12.05 | ~ c_lessequals(X1,X4,X0)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3470]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17628,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.05 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4),X0)
% 11.93/12.05 | ~ c_lessequals(X3,X2,X0)
% 11.93/12.05 | ~ c_lessequals(X1,X4,X0) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17627]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3462,plain,
% 11.93/12.05 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6970_5) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17611,plain,
% 11.93/12.05 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3462]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17612,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.05 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4),X0)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17611]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3458,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.05 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6971_3) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17603,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.05 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3458]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17604,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.05 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17603]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3454,plain,
% 11.93/12.05 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6972_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17595,plain,
% 11.93/12.05 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3454]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17596,plain,
% 11.93/12.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X0)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0)
% 11.93/12.05 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17595]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3452,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6973_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17591,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3452]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17592,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.05 | 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) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17591]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3450,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6974_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17587,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3450]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17588,plain,
% 11.93/12.05 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 11.93/12.05 | 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) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17587]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3444,plain,
% 11.93/12.05 ( 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),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 11.93/12.05 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6977_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17575,plain,
% 11.93/12.05 ( 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),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 11.93/12.05 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3444]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17576,plain,
% 11.93/12.05 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 11.93/12.05 | 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),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17575]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3442,plain,
% 11.93/12.05 ( 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),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 11.93/12.05 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6978_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17571,plain,
% 11.93/12.05 ( 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),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 11.93/12.05 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3442]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17572,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 11.93/12.05 | 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),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17571]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3440,plain,
% 11.93/12.05 ( 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),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 11.93/12.05 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6979_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17567,plain,
% 11.93/12.05 ( 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),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 11.93/12.05 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3440]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17568,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.05 | 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),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17567]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3438,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6980_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17563,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3438]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17564,plain,
% 11.93/12.05 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.93/12.05 | 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) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17563]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3434,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | 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)
% 11.93/12.05 | 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)
% 11.93/12.05 | 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) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6982_3) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17555,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | 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)
% 11.93/12.05 | 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)
% 11.93/12.05 | 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) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3434]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17556,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | 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)
% 11.93/12.05 | 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)
% 11.93/12.05 | 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) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17555]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3404,plain,
% 11.93/12.05 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.05 | hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6987_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17495,plain,
% 11.93/12.05 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.05 | hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3404]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17496,plain,
% 11.93/12.05 ( hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)
% 11.93/12.05 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17495]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3401,plain,
% 11.93/12.05 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.05 | 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)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6990_2) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17489,plain,
% 11.93/12.05 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.05 | 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)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3401]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17490,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.05 | 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)
% 11.93/12.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17489]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3398,plain,
% 11.93/12.05 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.05 | 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)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6991_2) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17483,plain,
% 11.93/12.05 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.05 | 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)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3398]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17484,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.05 | 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)
% 11.93/12.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17483]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3396,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6992_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17479,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3396]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17480,plain,
% 11.93/12.05 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 11.93/12.05 | 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) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17479]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3372,plain,
% 11.93/12.05 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.05 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6996_5) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17431,plain,
% 11.93/12.05 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.05 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X3,X0)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X0),X2,X0)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3372]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3297,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7009_2) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17281,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3297]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17282,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.93/12.05 | 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) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17281]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3293,plain,
% 11.93/12.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7010_3) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17273,plain,
% 11.93/12.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3293]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17274,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17273]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3285,plain,
% 11.93/12.05 ( c_lessequals(X0,X1,X2)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.93/12.05 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),X2)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7012_3) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17257,plain,
% 11.93/12.05 ( c_lessequals(X0,X1,X2)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.93/12.05 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),X2)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3285]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17258,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.05 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.93/12.05 | c_lessequals(X3,X2,X0)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17257]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3281,plain,
% 11.93/12.05 ( c_lessequals(X0,X1,X2)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.93/12.05 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7013_3) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17249,plain,
% 11.93/12.05 ( c_lessequals(X0,X1,X2)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.93/12.05 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3281]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17250,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.05 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.93/12.05 | c_lessequals(X2,X3,X0)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17249]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3269,plain,
% 11.93/12.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7016_3) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17225,plain,
% 11.93/12.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3269]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17226,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17225]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3265,plain,
% 11.93/12.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7017_3) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17217,plain,
% 11.93/12.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3265]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17218,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17217]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3261,plain,
% 11.93/12.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7018_3) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17209,plain,
% 11.93/12.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3261]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17210,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17209]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3257,plain,
% 11.93/12.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7019_3) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17201,plain,
% 11.93/12.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3257]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17202,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17201]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3253,plain,
% 11.93/12.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X3),X2)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7020_3) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17193,plain,
% 11.93/12.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X3),X2)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3253]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17194,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.93/12.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17193]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3237,plain,
% 11.93/12.05 ( c_lessequals(X0,X1,tc_nat)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 11.93/12.05 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1),X2)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7024_3) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17161,plain,
% 11.93/12.05 ( c_lessequals(X0,X1,tc_nat)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 11.93/12.05 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1),X2)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3237]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17162,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.93/12.05 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.93/12.05 | c_lessequals(X2,X3,tc_nat)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17161]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3234,plain,
% 11.93/12.05 ( hAPP(c_Suc,c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat)) = c_Divides_Odiv__class_Odiv(X0,X1,tc_nat)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.93/12.05 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7026_2) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17155,plain,
% 11.93/12.05 ( hAPP(c_Suc,c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat)) = c_Divides_Odiv__class_Odiv(X0,X1,tc_nat)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.93/12.05 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3234]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17156,plain,
% 11.93/12.05 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.05 | hAPP(c_Suc,c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat)) = c_Divides_Odiv__class_Odiv(X1,X0,tc_nat) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17155]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3232,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7031_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17151,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3232]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17152,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.05 | 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) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17151]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3230,plain,
% 11.93/12.05 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,X3),X2,X3)
% 11.93/12.05 | ~ class_Divides_Oring__div(X3) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7032_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17147,plain,
% 11.93/12.05 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,X3),X2,X3)
% 11.93/12.05 | ~ class_Divides_Oring__div(X3) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3230]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17148,plain,
% 11.93/12.05 ( ~ class_Divides_Oring__div(X0)
% 11.93/12.05 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17147]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3228,plain,
% 11.93/12.05 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 11.93/12.05 | ~ class_Divides_Oring__div(X2) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7033_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17143,plain,
% 11.93/12.05 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 11.93/12.05 | ~ class_Divides_Oring__div(X2) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3228]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17144,plain,
% 11.93/12.05 ( ~ class_Divides_Oring__div(X0)
% 11.93/12.05 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17143]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3203,plain,
% 11.93/12.05 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.05 | 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)
% 11.93/12.05 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7040_2) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17093,plain,
% 11.93/12.05 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.05 | 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)
% 11.93/12.05 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3203]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17094,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.93/12.05 | 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)
% 11.93/12.05 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17093]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3193,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7043_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17073,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3193]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17074,plain,
% 11.93/12.05 ( ~ class_RealVector_Oreal__normed__field(X0)
% 11.93/12.05 | 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) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17073]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3191,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7044_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17069,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3191]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17070,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.93/12.05 | 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) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17069]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3189,plain,
% 11.93/12.05 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7045_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17065,plain,
% 11.93/12.05 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3189]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3187,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7046_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17061,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3187]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17062,plain,
% 11.93/12.05 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.05 | 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) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17061]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3183,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7048_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17053,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3183]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17054,plain,
% 11.93/12.05 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.05 | 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) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17053]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3181,plain,
% 11.93/12.05 ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = c_Divides_Odiv__class_Omod(X2,X1,tc_nat)
% 11.93/12.05 | 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)) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7049_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17049,plain,
% 11.93/12.05 ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = c_Divides_Odiv__class_Omod(X2,X1,tc_nat)
% 11.93/12.05 | 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)) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3181]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17050,plain,
% 11.93/12.05 ( 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))
% 11.93/12.05 | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = c_Divides_Odiv__class_Omod(X3,X1,tc_nat) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17049]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3179,plain,
% 11.93/12.05 ( c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2,tc_nat)
% 11.93/12.05 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7050_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17045,plain,
% 11.93/12.05 ( c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2,tc_nat)
% 11.93/12.05 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3179]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17046,plain,
% 11.93/12.05 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.93/12.05 | c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2,tc_nat) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17045]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3177,plain,
% 11.93/12.05 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(c_Suc,X2),tc_nat) = c_HOL_Ominus__class_Ominus(X0,hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)),tc_nat)
% 11.93/12.05 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7051_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17041,plain,
% 11.93/12.05 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(c_Suc,X2),tc_nat) = c_HOL_Ominus__class_Ominus(X0,hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)),tc_nat)
% 11.93/12.05 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3177]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17042,plain,
% 11.93/12.05 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.93/12.05 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(c_Suc,X1),tc_nat) = c_HOL_Ominus__class_Ominus(X2,hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),tc_nat) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17041]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3174,plain,
% 11.93/12.05 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.05 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3)),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),c_Divides_Odiv__class_Odiv(X2,X0,X1))
% 11.93/12.05 | ~ class_Divides_Osemiring__div(X1) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7052_2) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17035,plain,
% 11.93/12.05 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.05 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3)),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),c_Divides_Odiv__class_Odiv(X2,X0,X1))
% 11.93/12.05 | ~ class_Divides_Osemiring__div(X1) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3174]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17036,plain,
% 11.93/12.05 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.05 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X2,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),c_Divides_Odiv__class_Odiv(X1,X2,X0))
% 11.93/12.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17035]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3171,plain,
% 11.93/12.05 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.05 | c_Divides_Odiv__class_Odiv(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_Divides_Odiv__class_Odiv(X2,X0,X1))
% 11.93/12.05 | ~ class_Divides_Osemiring__div(X1) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7053_2) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17029,plain,
% 11.93/12.05 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.05 | c_Divides_Odiv__class_Odiv(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_Divides_Odiv__class_Odiv(X2,X0,X1))
% 11.93/12.05 | ~ class_Divides_Osemiring__div(X1) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3171]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17030,plain,
% 11.93/12.05 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.05 | c_Divides_Odiv__class_Odiv(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_Divides_Odiv__class_Odiv(X1,X3,X0))
% 11.93/12.05 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17029]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3167,plain,
% 11.93/12.05 ( c_HOL_Ominus__class_Ominus(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_HOL_Ominus__class_Ominus(X1,X3,X0)),X2)
% 11.93/12.05 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7055_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17021,plain,
% 11.93/12.05 ( c_HOL_Ominus__class_Ominus(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_HOL_Ominus__class_Ominus(X1,X3,X0)),X2)
% 11.93/12.05 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3167]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17022,plain,
% 11.93/12.05 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 11.93/12.05 | c_HOL_Ominus__class_Ominus(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_HOL_Ominus__class_Ominus(X1,X3,X0)),X2) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17021]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3165,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7056_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17017,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3165]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17018,plain,
% 11.93/12.05 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.05 | 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) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17017]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3161,plain,
% 11.93/12.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7057_3) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17009,plain,
% 11.93/12.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3161]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_17010,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_17009]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3153,plain,
% 11.93/12.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7059_3) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16993,plain,
% 11.93/12.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3153]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16994,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_16993]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3120,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7065_0) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16927,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3120]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3117,plain,
% 11.93/12.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7065_3) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16921,plain,
% 11.93/12.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3117]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16922,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_16921]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3116,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7066_0) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16919,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3116]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3113,plain,
% 11.93/12.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7066_3) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16913,plain,
% 11.93/12.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3113]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16914,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.05 | ~ 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)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_16913]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3093,plain,
% 11.93/12.05 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 11.93/12.05 | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7070_4) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16873,plain,
% 11.93/12.05 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 11.93/12.05 | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.05 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3093]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3091,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7071_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16869,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3091]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16870,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.05 | 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) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_16869]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3087,plain,
% 11.93/12.05 ( 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),X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 11.93/12.05 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7073_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16861,plain,
% 11.93/12.05 ( 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),X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 11.93/12.05 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3087]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16862,plain,
% 11.93/12.05 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 11.93/12.05 | 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),X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_16861]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3085,plain,
% 11.93/12.05 ( 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),X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 11.93/12.05 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7074_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16857,plain,
% 11.93/12.05 ( 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),X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 11.93/12.05 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3085]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16858,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.05 | 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),X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_16857]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3083,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7075_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16853,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3083]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16854,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.05 | 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) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_16853]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3068,plain,
% 11.93/12.05 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 11.93/12.05 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.93/12.05 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7078_4) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16823,plain,
% 11.93/12.05 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 11.93/12.05 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.93/12.05 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3068]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3060,plain,
% 11.93/12.05 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.05 | hAPP(c_Suc,c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat)) = c_Divides_Odiv__class_Odiv(X0,X1,tc_nat)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7080_2) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16807,plain,
% 11.93/12.05 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.05 | hAPP(c_Suc,c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat)) = c_Divides_Odiv__class_Odiv(X0,X1,tc_nat)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3060]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16808,plain,
% 11.93/12.05 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.05 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 11.93/12.05 | hAPP(c_Suc,c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat)) = c_Divides_Odiv__class_Odiv(X1,X0,tc_nat) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_16807]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3047,plain,
% 11.93/12.05 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.93/12.05 | ~ c_lessequals(X1,X0,tc_nat)
% 11.93/12.05 | ~ c_lessequals(X1,X2,tc_nat)
% 11.93/12.05 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7083_3) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16781,plain,
% 11.93/12.05 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.93/12.05 | ~ c_lessequals(X1,X0,tc_nat)
% 11.93/12.05 | ~ c_lessequals(X1,X2,tc_nat)
% 11.93/12.05 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3047]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3015,plain,
% 11.93/12.05 ( c_lessequals(X0,X1,tc_nat)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.93/12.05 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7092_2) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16717,plain,
% 11.93/12.05 ( c_lessequals(X0,X1,tc_nat)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.93/12.05 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3015]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16718,plain,
% 11.93/12.05 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 11.93/12.05 | c_lessequals(X1,X2,tc_nat)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_16717]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3013,plain,
% 11.93/12.05 ( 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))
% 11.93/12.05 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7093_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16713,plain,
% 11.93/12.05 ( 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))
% 11.93/12.05 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3013]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16714,plain,
% 11.93/12.05 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 11.93/12.05 | 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)) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_16713]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3011,plain,
% 11.93/12.05 ( 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))
% 11.93/12.05 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7094_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16709,plain,
% 11.93/12.05 ( 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))
% 11.93/12.05 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3011]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16710,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.05 | 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)) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_16709]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_3006,plain,
% 11.93/12.05 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.05 | X2 = X3
% 11.93/12.05 | 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))
% 11.93/12.05 | ~ class_Int_Onumber__ring(X1)
% 11.93/12.05 | ~ class_Ring__and__Field_Oidom(X1) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7095_4) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16699,plain,
% 11.93/12.05 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.05 | X2 = X3
% 11.93/12.05 | 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))
% 11.93/12.05 | ~ class_Int_Onumber__ring(X1)
% 11.93/12.05 | ~ class_Ring__and__Field_Oidom(X1) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_3006]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16700,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.93/12.05 | ~ class_Int_Onumber__ring(X0)
% 11.93/12.05 | 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))
% 11.93/12.05 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.05 | X3 = X4 ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_16699]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_2971,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ 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) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7101_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16629,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ 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) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_2971]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16630,plain,
% 11.93/12.05 ( ~ 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)
% 11.93/12.05 | 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) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_16629]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_2969,plain,
% 11.93/12.05 ( c_lessequals(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)
% 11.93/12.05 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7102_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16625,plain,
% 11.93/12.05 ( c_lessequals(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)
% 11.93/12.05 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_2969]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_2967,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7103_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16621,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_2967]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_2963,plain,
% 11.93/12.05 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.93/12.05 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 11.93/12.05 | ~ c_lessequals(X4,X3,X1)
% 11.93/12.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7104_3) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16613,plain,
% 11.93/12.05 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.93/12.05 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 11.93/12.05 | ~ c_lessequals(X4,X3,X1)
% 11.93/12.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_2963]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16614,plain,
% 11.93/12.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.05 | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 11.93/12.05 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4),X0)
% 11.93/12.05 | ~ c_lessequals(X4,X3,X0) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_16613]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_2961,plain,
% 11.93/12.05 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),c_Divides_Odiv__class_Odiv(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)) = X0
% 11.93/12.05 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7105_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16609,plain,
% 11.93/12.05 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),c_Divides_Odiv__class_Odiv(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)) = X0
% 11.93/12.05 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_2961]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16610,plain,
% 11.93/12.05 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.05 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))),c_Divides_Odiv__class_Odiv(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)) = X0 ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_16609]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_2958,plain,
% 11.93/12.05 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.93/12.05 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7106_2) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16603,plain,
% 11.93/12.05 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.93/12.05 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_2958]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16604,plain,
% 11.93/12.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.05 | hBOOL(hAPP(X2,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.93/12.05 | ~ hBOOL(hAPP(X2,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat))) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_16603]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_2956,plain,
% 11.93/12.05 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.93/12.05 | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 11.93/12.05 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7109_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16599,plain,
% 11.93/12.05 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.93/12.05 | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 11.93/12.05 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_2956]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16600,plain,
% 11.93/12.05 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.93/12.05 | ~ c_lessequals(X0,X2,tc_nat)
% 11.93/12.05 | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X1,tc_nat) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_16599]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_2951,plain,
% 11.93/12.05 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)),X1)
% 11.93/12.05 | ~ c_lessequals(X2,X0,tc_nat) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7111_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16589,plain,
% 11.93/12.05 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)),X1)
% 11.93/12.05 | ~ c_lessequals(X2,X0,tc_nat) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_2951]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16590,plain,
% 11.93/12.05 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.93/12.05 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_16589]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_2949,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7112_1) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16585,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_2949]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16586,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.05 | 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) ),
% 11.93/12.05 inference(rewriting,[status(thm)],[c_16585]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_2943,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.05 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7114_2) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16573,plain,
% 11.93/12.05 ( 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)
% 11.93/12.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.93/12.05 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.05 inference(copy,[status(esa)],[c_2943]) ).
% 11.93/12.05
% 11.93/12.05 cnf(c_16574,plain,
% 11.93/12.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.93/12.06 | 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16573]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2940,plain,
% 11.93/12.06 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.06 | ~ 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)
% 11.93/12.06 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7115_2) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16567,plain,
% 11.93/12.06 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.06 | ~ 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)
% 11.93/12.06 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2940]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16568,plain,
% 11.93/12.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.93/12.06 | ~ 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)
% 11.93/12.06 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16567]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2937,plain,
% 11.93/12.06 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.06 | ~ 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)
% 11.93/12.06 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7116_2) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16561,plain,
% 11.93/12.06 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.06 | ~ 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)
% 11.93/12.06 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2937]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16562,plain,
% 11.93/12.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.93/12.06 | ~ 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)
% 11.93/12.06 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16561]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2934,plain,
% 11.93/12.06 ( c_lessequals(X0,X1,X2)
% 11.93/12.06 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 11.93/12.06 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7117_2) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16555,plain,
% 11.93/12.06 ( c_lessequals(X0,X1,X2)
% 11.93/12.06 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 11.93/12.06 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2934]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16556,plain,
% 11.93/12.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.93/12.06 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.93/12.06 | c_lessequals(X1,X3,X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16555]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2931,plain,
% 11.93/12.06 ( c_lessequals(X0,X1,X2)
% 11.93/12.06 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 11.93/12.06 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7118_2) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16549,plain,
% 11.93/12.06 ( c_lessequals(X0,X1,X2)
% 11.93/12.06 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 11.93/12.06 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2931]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16550,plain,
% 11.93/12.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.93/12.06 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.93/12.06 | c_lessequals(X2,X3,X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16549]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2897,plain,
% 11.93/12.06 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 11.93/12.06 | ~ c_lessequals(X2,X1,tc_nat)
% 11.93/12.06 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7124_2) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16481,plain,
% 11.93/12.06 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 11.93/12.06 | ~ c_lessequals(X2,X1,tc_nat)
% 11.93/12.06 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2897]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16482,plain,
% 11.93/12.06 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.93/12.06 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.93/12.06 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16481]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2885,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7127_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16457,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2885]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16458,plain,
% 11.93/12.06 ( ~ class_Int_Onumber__ring(X0)
% 11.93/12.06 | 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) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16457]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2883,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7128_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16453,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2883]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16454,plain,
% 11.93/12.06 ( ~ class_Int_Onumber__ring(X0)
% 11.93/12.06 | 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) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16453]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2881,plain,
% 11.93/12.06 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.06 | ~ 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) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7129_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16449,plain,
% 11.93/12.06 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.06 | ~ 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) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2881]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16450,plain,
% 11.93/12.06 ( ~ 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)
% 11.93/12.06 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16449]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2835,plain,
% 11.93/12.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7139_5) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16357,plain,
% 11.93/12.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2835]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2827,plain,
% 11.93/12.06 ( ~ 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)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7141_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16341,plain,
% 11.93/12.06 ( ~ 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)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2827]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16342,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.06 | ~ 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) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16341]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2811,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7145_3) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16309,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2811]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16310,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16309]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2803,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7147_3) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16293,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2803]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16294,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.06 | 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16293]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2795,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7149_3) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16277,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2795]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16278,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16277]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2787,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7151_3) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16261,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2787]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16262,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.06 | 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16261]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2783,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7152_3) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16253,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2783]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16254,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16253]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2771,plain,
% 11.93/12.06 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0)
% 11.93/12.06 | ~ c_lessequals(X1,X3,X0)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7155_3) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16229,plain,
% 11.93/12.06 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0)
% 11.93/12.06 | ~ c_lessequals(X1,X3,X0)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2771]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16230,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0)
% 11.93/12.06 | ~ c_lessequals(X1,X3,X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16229]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2759,plain,
% 11.93/12.06 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 11.93/12.06 | ~ c_lessequals(X1,X3,X0)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Omult__mono(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7158_3) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16205,plain,
% 11.93/12.06 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 11.93/12.06 | ~ c_lessequals(X1,X3,X0)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Omult__mono(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2759]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16206,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 11.93/12.06 | ~ c_lessequals(X2,X3,X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16205]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2755,plain,
% 11.93/12.06 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.93/12.06 | ~ c_lessequals(X2,X3,X0)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Omult__mono(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7159_3) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16197,plain,
% 11.93/12.06 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.93/12.06 | ~ c_lessequals(X2,X3,X0)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Omult__mono(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2755]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16198,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.93/12.06 | ~ c_lessequals(X2,X3,X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16197]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2751,plain,
% 11.93/12.06 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.93/12.06 | ~ c_lessequals(X2,X3,X0)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Omult__mono1(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7160_3) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16189,plain,
% 11.93/12.06 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.93/12.06 | ~ c_lessequals(X2,X3,X0)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Omult__mono1(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2751]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16190,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.93/12.06 | ~ c_lessequals(X2,X3,X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16189]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2744,plain,
% 11.93/12.06 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.06 | c_Divides_Odiv__class_Odiv(hAPP(c_Suc,X0),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) = hAPP(c_Suc,c_Divides_Odiv__class_Odiv(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7162_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16175,plain,
% 11.93/12.06 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.06 | c_Divides_Odiv__class_Odiv(hAPP(c_Suc,X0),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) = hAPP(c_Suc,c_Divides_Odiv__class_Odiv(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2744]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2736,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7164_3) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16159,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2736]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16160,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.93/12.06 | 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16159]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2732,plain,
% 11.93/12.06 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.93/12.06 | ~ c_lessequals(X2,X3,tc_nat)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7165_3) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16151,plain,
% 11.93/12.06 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.93/12.06 | ~ c_lessequals(X2,X3,tc_nat)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2732]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16152,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.93/12.06 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.93/12.06 | ~ c_lessequals(X2,X3,tc_nat) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16151]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2722,plain,
% 11.93/12.06 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(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)
% 11.93/12.06 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7168_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16131,plain,
% 11.93/12.06 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(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)
% 11.93/12.06 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2722]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16132,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 11.93/12.06 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(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) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16131]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2720,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7169_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16127,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2720]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16128,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.06 | 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) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16127]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2717,plain,
% 11.93/12.06 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.06 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Odiv(X2,X0,X1)),c_HOL_Oone__class_Oone(X1))
% 11.93/12.06 | ~ class_Divides_Osemiring__div(X1) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7170_2) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16121,plain,
% 11.93/12.06 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.06 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Odiv(X2,X0,X1)),c_HOL_Oone__class_Oone(X1))
% 11.93/12.06 | ~ class_Divides_Osemiring__div(X1) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2717]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16122,plain,
% 11.93/12.06 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.06 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),c_HOL_Oone__class_Oone(X0))
% 11.93/12.06 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16121]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2714,plain,
% 11.93/12.06 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.06 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Odiv(X2,X0,X1)),c_HOL_Oone__class_Oone(X1))
% 11.93/12.06 | ~ class_Divides_Osemiring__div(X1) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7171_2) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16115,plain,
% 11.93/12.06 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.06 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Odiv(X2,X0,X1)),c_HOL_Oone__class_Oone(X1))
% 11.93/12.06 | ~ class_Divides_Osemiring__div(X1) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2714]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16116,plain,
% 11.93/12.06 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.06 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X1,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Odiv(X2,X1,X0)),c_HOL_Oone__class_Oone(X0))
% 11.93/12.06 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16115]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2712,plain,
% 11.93/12.06 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Divides_Odiv__class_Odiv(X1,X0,tc_nat)),X1,tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7172_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16111,plain,
% 11.93/12.06 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Divides_Odiv__class_Odiv(X1,X0,tc_nat)),X1,tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2712]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2708,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 11.93/12.06 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7173_3) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16103,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 11.93/12.06 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2708]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16104,plain,
% 11.93/12.06 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 11.93/12.06 | 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16103]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2700,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.93/12.06 | ~ c_lessequals(X2,X4,X0)
% 11.93/12.06 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7175_3) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16087,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.93/12.06 | ~ c_lessequals(X2,X4,X0)
% 11.93/12.06 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2700]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16088,plain,
% 11.93/12.06 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 11.93/12.06 | ~ c_lessequals(X1,X2,X0)
% 11.93/12.06 | 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16087]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2696,plain,
% 11.93/12.06 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 11.93/12.06 | ~ c_lessequals(X1,X3,X0)
% 11.93/12.06 | ~ c_lessequals(X2,X4,X0)
% 11.93/12.06 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7176_3) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16079,plain,
% 11.93/12.06 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 11.93/12.06 | ~ c_lessequals(X1,X3,X0)
% 11.93/12.06 | ~ c_lessequals(X2,X4,X0)
% 11.93/12.06 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2696]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16080,plain,
% 11.93/12.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 11.93/12.06 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 11.93/12.06 | ~ c_lessequals(X1,X3,X0)
% 11.93/12.06 | ~ c_lessequals(X2,X4,X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16079]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2686,plain,
% 11.93/12.06 ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 11.93/12.06 | ~ class_RealVector_Oreal__normed__field(X2) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7179_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16059,plain,
% 11.93/12.06 ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 11.93/12.06 | ~ class_RealVector_Oreal__normed__field(X2) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2686]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16060,plain,
% 11.93/12.06 ( ~ class_RealVector_Oreal__normed__field(X0)
% 11.93/12.06 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16059]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2684,plain,
% 11.93/12.06 ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 11.93/12.06 | ~ class_Ring__and__Field_Ofield(X2) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7180_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16055,plain,
% 11.93/12.06 ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 11.93/12.06 | ~ class_Ring__and__Field_Ofield(X2) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2684]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16056,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.93/12.06 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16055]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2671,plain,
% 11.93/12.06 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.06 | X1 = X2
% 11.93/12.06 | 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)) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7183_2) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16029,plain,
% 11.93/12.06 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.06 | X1 = X2
% 11.93/12.06 | 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)) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2671]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16030,plain,
% 11.93/12.06 ( 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))
% 11.93/12.06 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.06 | X2 = X3 ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_16029]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2657,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7187_2) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_16001,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2657]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2654,plain,
% 11.93/12.06 ( c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.93/12.06 | ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.93/12.06 | ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7188_2) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15995,plain,
% 11.93/12.06 ( c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.93/12.06 | ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.93/12.06 | ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2654]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2652,plain,
% 11.93/12.06 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.93/12.06 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7189_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15991,plain,
% 11.93/12.06 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.93/12.06 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2652]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2649,plain,
% 11.93/12.06 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7190_2) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15985,plain,
% 11.93/12.06 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2649]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2646,plain,
% 11.93/12.06 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.93/12.06 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7191_2) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15979,plain,
% 11.93/12.06 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.93/12.06 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2646]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15980,plain,
% 11.93/12.06 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.93/12.06 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15979]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2644,plain,
% 11.93/12.06 ( 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(X1,X3),X3)
% 11.93/12.06 | ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7192_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15975,plain,
% 11.93/12.06 ( 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(X1,X3),X3)
% 11.93/12.06 | ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2644]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15976,plain,
% 11.93/12.06 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 11.93/12.06 | 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(X1,X3),X3) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15975]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2640,plain,
% 11.93/12.06 ( c_HOL_Ominus__class_Ominus(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_HOL_Ominus__class_Ominus(X2,X3,X0))
% 11.93/12.06 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7195_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15967,plain,
% 11.93/12.06 ( c_HOL_Ominus__class_Ominus(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_HOL_Ominus__class_Ominus(X2,X3,X0))
% 11.93/12.06 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2640]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15968,plain,
% 11.93/12.06 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 11.93/12.06 | c_HOL_Ominus__class_Ominus(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_HOL_Ominus__class_Ominus(X2,X3,X0)) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15967]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2638,plain,
% 11.93/12.06 ( 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))
% 11.93/12.06 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7196_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15963,plain,
% 11.93/12.06 ( 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))
% 11.93/12.06 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2638]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15964,plain,
% 11.93/12.06 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.06 | 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)) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15963]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2636,plain,
% 11.93/12.06 ( hBOOL(hAPP(X0,X1))
% 11.93/12.06 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7197_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15959,plain,
% 11.93/12.06 ( hBOOL(hAPP(X0,X1))
% 11.93/12.06 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2636]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15960,plain,
% 11.93/12.06 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 11.93/12.06 | hBOOL(hAPP(X0,X1)) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15959]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2634,plain,
% 11.93/12.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.06 | ~ 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) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7198_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15955,plain,
% 11.93/12.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.06 | ~ 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) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2634]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2632,plain,
% 11.93/12.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.06 | ~ 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) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7199_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15951,plain,
% 11.93/12.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.06 | ~ 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) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2632]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2630,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7200_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15947,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2630]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15948,plain,
% 11.93/12.06 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.06 | 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) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15947]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2628,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7201_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15943,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2628]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15944,plain,
% 11.93/12.06 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.06 | 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) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15943]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2626,plain,
% 11.93/12.06 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X2,tc_nat),tc_nat)
% 11.93/12.06 | ~ c_lessequals(X2,X1,tc_nat) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7202_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15939,plain,
% 11.93/12.06 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X2,tc_nat),tc_nat)
% 11.93/12.06 | ~ c_lessequals(X2,X1,tc_nat) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2626]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2616,plain,
% 11.93/12.06 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.06 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) = hAPP(c_Suc,c_Divides_Odiv__class_Odiv(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat)) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7205_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15919,plain,
% 11.93/12.06 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.06 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) = hAPP(c_Suc,c_Divides_Odiv__class_Odiv(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat)) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2616]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2614,plain,
% 11.93/12.06 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.06 | ~ 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) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7206_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15915,plain,
% 11.93/12.06 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.06 | ~ 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) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2614]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15916,plain,
% 11.93/12.06 ( ~ 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)
% 11.93/12.06 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15915]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2612,plain,
% 11.93/12.06 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.06 | ~ 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) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7207_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15911,plain,
% 11.93/12.06 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.06 | ~ 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) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2612]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15912,plain,
% 11.93/12.06 ( ~ 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)
% 11.93/12.06 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15911]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2610,plain,
% 11.93/12.06 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.06 | ~ 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) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7208_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15907,plain,
% 11.93/12.06 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.06 | ~ 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) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2610]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15908,plain,
% 11.93/12.06 ( ~ 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)
% 11.93/12.06 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15907]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2608,plain,
% 11.93/12.06 ( c_lessequals(X0,X1,tc_nat)
% 11.93/12.06 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7209_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15903,plain,
% 11.93/12.06 ( c_lessequals(X0,X1,tc_nat)
% 11.93/12.06 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2608]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15904,plain,
% 11.93/12.06 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 11.93/12.06 | c_lessequals(X1,X2,tc_nat) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15903]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2606,plain,
% 11.93/12.06 ( 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))
% 11.93/12.06 | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7210_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15899,plain,
% 11.93/12.06 ( 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))
% 11.93/12.06 | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2606]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15900,plain,
% 11.93/12.06 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 11.93/12.06 | 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)) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15899]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2600,plain,
% 11.93/12.06 ( 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))
% 11.93/12.06 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7213_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15887,plain,
% 11.93/12.06 ( 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))
% 11.93/12.06 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2600]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15888,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.06 | 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)) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15887]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2598,plain,
% 11.93/12.06 ( 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))
% 11.93/12.06 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7214_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15883,plain,
% 11.93/12.06 ( 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))
% 11.93/12.06 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2598]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15884,plain,
% 11.93/12.06 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 11.93/12.06 | 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)) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15883]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2592,plain,
% 11.93/12.06 ( 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))
% 11.93/12.06 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7217_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15871,plain,
% 11.93/12.06 ( 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))
% 11.93/12.06 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2592]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15872,plain,
% 11.93/12.06 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 11.93/12.06 | 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)) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15871]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2590,plain,
% 11.93/12.06 ( 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))
% 11.93/12.06 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7218_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15867,plain,
% 11.93/12.06 ( 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))
% 11.93/12.06 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2590]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15868,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.06 | 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)) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15867]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2588,plain,
% 11.93/12.06 ( 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))
% 11.93/12.06 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7219_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15863,plain,
% 11.93/12.06 ( 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))
% 11.93/12.06 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2588]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15864,plain,
% 11.93/12.06 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.93/12.06 | 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)) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15863]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2586,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | 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) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7220_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15859,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | 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) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2586]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2584,plain,
% 11.93/12.06 ( ~ 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)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7221_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15855,plain,
% 11.93/12.06 ( ~ 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)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2584]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15856,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.06 | ~ 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) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15855]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2582,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7223_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15851,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2582]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15852,plain,
% 11.93/12.06 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.93/12.06 | 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) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15851]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2576,plain,
% 11.93/12.06 ( 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))
% 11.93/12.06 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7225_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15839,plain,
% 11.93/12.06 ( 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))
% 11.93/12.06 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2576]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15840,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.06 | 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)) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15839]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2574,plain,
% 11.93/12.06 ( 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))
% 11.93/12.06 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7226_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15835,plain,
% 11.93/12.06 ( 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))
% 11.93/12.06 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2574]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15836,plain,
% 11.93/12.06 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 11.93/12.06 | 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)) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15835]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2572,plain,
% 11.93/12.06 ( c_Divides_Odiv__class_Omod(hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0)
% 11.93/12.06 | ~ class_Divides_Oring__div(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7227_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15831,plain,
% 11.93/12.06 ( c_Divides_Odiv__class_Omod(hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0)
% 11.93/12.06 | ~ class_Divides_Oring__div(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2572]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15832,plain,
% 11.93/12.06 ( ~ class_Divides_Oring__div(X0)
% 11.93/12.06 | c_Divides_Odiv__class_Omod(hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15831]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2557,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7232_2) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15801,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2557]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15802,plain,
% 11.93/12.06 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.06 | 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15801]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2560,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7231_2) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15807,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2560]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15808,plain,
% 11.93/12.06 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.06 | 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15807]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2552,plain,
% 11.93/12.06 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_nat),tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X0),X1,tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),X1,tc_nat) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7234_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15791,plain,
% 11.93/12.06 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_nat),tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X0),X1,tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),X1,tc_nat) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2552]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15792,plain,
% 11.93/12.06 ( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),X0,tc_nat)
% 11.93/12.06 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_nat),tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X1),X0,tc_nat) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15791]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2550,plain,
% 11.93/12.06 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.93/12.06 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7235_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15787,plain,
% 11.93/12.06 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.93/12.06 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2550]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15788,plain,
% 11.93/12.06 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 11.93/12.06 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15787]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2547,plain,
% 11.93/12.06 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.93/12.06 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7236_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15781,plain,
% 11.93/12.06 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.93/12.06 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2547]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15782,plain,
% 11.93/12.06 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 11.93/12.06 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15781]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2542,plain,
% 11.93/12.06 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.06 | X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.06 | ~ c_lessequals(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)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7237_3) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15771,plain,
% 11.93/12.06 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.06 | X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.06 | ~ c_lessequals(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)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2542]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15772,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.06 | ~ c_lessequals(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)
% 11.93/12.06 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15771]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2539,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7238_2) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15765,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2539]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2536,plain,
% 11.93/12.06 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3),tc_nat)
% 11.93/12.06 | ~ c_lessequals(X0,X2,tc_nat)
% 11.93/12.06 | ~ c_lessequals(X1,X3,tc_nat) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7239_2) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15759,plain,
% 11.93/12.06 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3),tc_nat)
% 11.93/12.06 | ~ c_lessequals(X0,X2,tc_nat)
% 11.93/12.06 | ~ c_lessequals(X1,X3,tc_nat) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2536]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2533,plain,
% 11.93/12.06 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 11.93/12.06 | ~ c_lessequals(X0,X2,tc_nat)
% 11.93/12.06 | ~ c_lessequals(X1,X3,tc_nat) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7240_2) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15753,plain,
% 11.93/12.06 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 11.93/12.06 | ~ c_lessequals(X0,X2,tc_nat)
% 11.93/12.06 | ~ c_lessequals(X1,X3,tc_nat) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2533]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2518,plain,
% 11.93/12.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7243_4) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15723,plain,
% 11.93/12.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2518]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2503,plain,
% 11.93/12.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7246_4) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15693,plain,
% 11.93/12.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2503]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2449,plain,
% 11.93/12.06 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.06 | ~ c_lessequals(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)
% 11.93/12.06 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7257_3) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15585,plain,
% 11.93/12.06 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.06 | ~ c_lessequals(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)
% 11.93/12.06 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2449]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15586,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.06 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 11.93/12.06 | ~ c_lessequals(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)
% 11.93/12.06 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15585]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2446,plain,
% 11.93/12.06 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.06 | ~ 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)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7258_2) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15579,plain,
% 11.93/12.06 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.06 | ~ 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)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2446]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15580,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.06 | ~ 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)
% 11.93/12.06 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15579]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2419,plain,
% 11.93/12.06 ( ~ 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)
% 11.93/12.06 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7263_2) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15525,plain,
% 11.93/12.06 ( ~ 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)
% 11.93/12.06 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2419]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15526,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.06 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 11.93/12.06 | ~ 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) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15525]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2417,plain,
% 11.93/12.06 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7264_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15521,plain,
% 11.93/12.06 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2417]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2415,plain,
% 11.93/12.06 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7265_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15517,plain,
% 11.93/12.06 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2415]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15518,plain,
% 11.93/12.06 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 11.93/12.06 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15517]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2413,plain,
% 11.93/12.06 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Fact_Ofact__class_Ofact(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)) = c_Fact_Ofact__class_Ofact(X0,tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7266_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15513,plain,
% 11.93/12.06 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Fact_Ofact__class_Ofact(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)) = c_Fact_Ofact__class_Ofact(X0,tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2413]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15514,plain,
% 11.93/12.06 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.06 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Fact_Ofact__class_Ofact(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)) = c_Fact_Ofact__class_Ofact(X0,tc_nat) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15513]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2411,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7267_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15509,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2411]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15510,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.06 | 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) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15509]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2409,plain,
% 11.93/12.06 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Int_Onumber__class_Onumber__of(c_Int_OMin,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)
% 11.93/12.06 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7268_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15505,plain,
% 11.93/12.06 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Int_Onumber__class_Onumber__of(c_Int_OMin,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)
% 11.93/12.06 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2409]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15506,plain,
% 11.93/12.06 ( ~ class_Int_Onumber__ring(X0)
% 11.93/12.06 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Int_Onumber__class_Onumber__of(c_Int_OMin,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) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15505]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2400,plain,
% 11.93/12.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7270_3) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15487,plain,
% 11.93/12.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2400]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15488,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.06 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15487]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2396,plain,
% 11.93/12.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7271_3) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15479,plain,
% 11.93/12.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2396]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15480,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.06 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15479]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2392,plain,
% 11.93/12.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7272_3) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15471,plain,
% 11.93/12.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2392]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15472,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15471]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2388,plain,
% 11.93/12.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7273_3) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15463,plain,
% 11.93/12.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2388]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15464,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15463]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2383,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.06 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7275_0) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15453,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.06 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2383]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2380,plain,
% 11.93/12.06 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.06 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.06 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7275_3) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15447,plain,
% 11.93/12.06 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.06 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.06 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2380]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15448,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.06 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15447]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2376,plain,
% 11.93/12.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.06 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7276_3) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15439,plain,
% 11.93/12.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.06 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.06 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2376]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15440,plain,
% 11.93/12.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.06 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15439]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2369,plain,
% 11.93/12.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 11.93/12.06 | 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)
% 11.93/12.06 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7278_2) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15425,plain,
% 11.93/12.06 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 11.93/12.06 | 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)
% 11.93/12.06 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2369]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15426,plain,
% 11.93/12.06 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 11.93/12.06 | 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)
% 11.93/12.06 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15425]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2367,plain,
% 11.93/12.06 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.93/12.06 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7279_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15421,plain,
% 11.93/12.06 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.93/12.06 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2367]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15422,plain,
% 11.93/12.06 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.93/12.06 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),X1,tc_nat) = c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15421]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2365,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7280_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15417,plain,
% 11.93/12.06 ( 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)
% 11.93/12.06 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2365]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15418,plain,
% 11.93/12.06 ( ~ class_Int_Onumber__ring(X0)
% 11.93/12.06 | 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) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15417]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2363,plain,
% 11.93/12.06 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7283_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15413,plain,
% 11.93/12.06 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 11.93/12.06 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2363]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15414,plain,
% 11.93/12.06 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.93/12.06 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15413]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2361,plain,
% 11.93/12.06 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 11.93/12.06 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7284_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15409,plain,
% 11.93/12.06 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 11.93/12.06 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2361]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_2357,plain,
% 11.93/12.06 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))
% 11.93/12.06 | ~ c_lessequals(X2,X1,tc_nat) ),
% 11.93/12.06 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7288_1) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15401,plain,
% 11.93/12.06 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))
% 11.93/12.06 | ~ c_lessequals(X2,X1,tc_nat) ),
% 11.93/12.06 inference(copy,[status(esa)],[c_2357]) ).
% 11.93/12.06
% 11.93/12.06 cnf(c_15402,plain,
% 11.93/12.06 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.93/12.06 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X0,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) ),
% 11.93/12.06 inference(rewriting,[status(thm)],[c_15401]) ).
% 11.93/12.06
% 11.93/12.07 cnf(c_2355,plain,
% 11.93/12.07 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7289_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15397,plain,
% 11.93/12.07 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2355]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15398,plain,
% 11.93/12.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.07 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_15397]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2340,plain,
% 11.93/12.07 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.93/12.07 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7292_4) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15367,plain,
% 11.93/12.07 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.93/12.07 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2340]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2335,plain,
% 11.93/12.07 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7293_4) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15357,plain,
% 11.93/12.07 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2335]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2330,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7294_4) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15347,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2330]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2325,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7295_4) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15337,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2325]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2309,plain,
% 11.93/12.07 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) = X0
% 11.93/12.07 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7301_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15305,plain,
% 11.93/12.07 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) = X0
% 11.93/12.07 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2309]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15306,plain,
% 11.93/12.07 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 11.93/12.07 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X0,tc_nat) = X1 ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_15305]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2297,plain,
% 11.93/12.07 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.93/12.07 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7304_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15281,plain,
% 11.93/12.07 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.93/12.07 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2297]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2293,plain,
% 11.93/12.07 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7305_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15273,plain,
% 11.93/12.07 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2293]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2289,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7306_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15265,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2289]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2285,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7307_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15257,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2285]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2281,plain,
% 11.93/12.07 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.93/12.07 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7308_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15249,plain,
% 11.93/12.07 ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.93/12.07 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2281]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2273,plain,
% 11.93/12.07 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.07 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X0),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),X0),X1)
% 11.93/12.07 | ~ c_lessequals(X2,X3,X1)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7310_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15233,plain,
% 11.93/12.07 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.07 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X0),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),X0),X1)
% 11.93/12.07 | ~ c_lessequals(X2,X3,X1)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2273]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15234,plain,
% 11.93/12.07 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.07 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.07 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1),X0)
% 11.93/12.07 | ~ c_lessequals(X2,X3,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_15233]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2254,plain,
% 11.93/12.07 ( c_Divides_Odiv__class_Omod(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X3),X2,X0)
% 11.93/12.07 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 11.93/12.07 | ~ class_Divides_Oring__div(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7315_2) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15195,plain,
% 11.93/12.07 ( c_Divides_Odiv__class_Omod(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X3),X2,X0)
% 11.93/12.07 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 11.93/12.07 | ~ class_Divides_Oring__div(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2254]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15196,plain,
% 11.93/12.07 ( ~ class_Divides_Oring__div(X0)
% 11.93/12.07 | c_Divides_Odiv__class_Omod(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X3),X2,X0)
% 11.93/12.07 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_15195]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2252,plain,
% 11.93/12.07 ( 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))
% 11.93/12.07 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7316_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15191,plain,
% 11.93/12.07 ( 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))
% 11.93/12.07 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2252]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15192,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 11.93/12.07 | 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)) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_15191]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2243,plain,
% 11.93/12.07 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7320_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15173,plain,
% 11.93/12.07 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2243]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15174,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.93/12.07 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_15173]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2239,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7321_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15165,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2239]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15166,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.93/12.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_15165]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2235,plain,
% 11.93/12.07 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7322_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15157,plain,
% 11.93/12.07 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2235]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15158,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.93/12.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_15157]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2231,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7323_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15149,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2231]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15150,plain,
% 11.93/12.07 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.93/12.07 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_15149]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2227,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7324_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15141,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2227]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15142,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_15141]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2207,plain,
% 11.93/12.07 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7329_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15101,plain,
% 11.93/12.07 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2207]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15102,plain,
% 11.93/12.07 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_15101]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2199,plain,
% 11.93/12.07 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7331_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15085,plain,
% 11.93/12.07 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2199]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15086,plain,
% 11.93/12.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_15085]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2191,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7333_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15069,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2191]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15070,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.93/12.07 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_15069]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2187,plain,
% 11.93/12.07 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7334_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15061,plain,
% 11.93/12.07 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2187]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15062,plain,
% 11.93/12.07 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 11.93/12.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_15061]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2183,plain,
% 11.93/12.07 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7335_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15053,plain,
% 11.93/12.07 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2183]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15054,plain,
% 11.93/12.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_15053]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2179,plain,
% 11.93/12.07 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7336_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15045,plain,
% 11.93/12.07 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2179]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15046,plain,
% 11.93/12.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_15045]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2171,plain,
% 11.93/12.07 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7338_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15029,plain,
% 11.93/12.07 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2171]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15030,plain,
% 11.93/12.07 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 11.93/12.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_15029]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2167,plain,
% 11.93/12.07 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7339_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15021,plain,
% 11.93/12.07 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2167]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_15022,plain,
% 11.93/12.07 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 11.93/12.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_15021]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2155,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7342_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14997,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2155]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14998,plain,
% 11.93/12.07 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14997]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2151,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7343_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14989,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2151]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14990,plain,
% 11.93/12.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14989]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2147,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7344_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14981,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2147]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14982,plain,
% 11.93/12.07 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.93/12.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14981]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2143,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7345_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14973,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2143]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14974,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.93/12.07 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14973]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2136,plain,
% 11.93/12.07 ( ~ c_lessequals(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)
% 11.93/12.07 | c_Int_Onumber__class_Onumber__of(X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7347_2) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14959,plain,
% 11.93/12.07 ( ~ c_lessequals(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)
% 11.93/12.07 | c_Int_Onumber__class_Onumber__of(X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2136]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14960,plain,
% 11.93/12.07 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.07 | ~ c_lessequals(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)
% 11.93/12.07 | c_Int_Onumber__class_Onumber__of(X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14959]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2117,plain,
% 11.93/12.07 ( c_lessequals(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)
% 11.93/12.07 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.07 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7353_2) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14921,plain,
% 11.93/12.07 ( c_lessequals(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)
% 11.93/12.07 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.07 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2117]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14922,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 11.93/12.07 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14921]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2113,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7354_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14913,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2113]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14914,plain,
% 11.93/12.07 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.93/12.07 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14913]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2108,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.93/12.07 | ~ c_lessequals(X0,X3,X1)
% 11.93/12.07 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7355_4) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14903,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.93/12.07 | ~ c_lessequals(X0,X3,X1)
% 11.93/12.07 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2108]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14904,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.93/12.07 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.93/12.07 | ~ c_lessequals(X1,X2,X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.93/12.07 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14903]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2091,plain,
% 11.93/12.07 ( c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.93/12.07 | ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7359_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14869,plain,
% 11.93/12.07 ( c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.93/12.07 | ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2091]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14870,plain,
% 11.93/12.07 ( ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.93/12.07 | c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14869]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2089,plain,
% 11.93/12.07 ( c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.93/12.07 | ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7360_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14865,plain,
% 11.93/12.07 ( c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.93/12.07 | ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2089]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14866,plain,
% 11.93/12.07 ( ~ c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.93/12.07 | c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14865]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2086,plain,
% 11.93/12.07 ( 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)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7361_2) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14859,plain,
% 11.93/12.07 ( 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)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2086]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14860,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 11.93/12.07 | 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)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14859]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2083,plain,
% 11.93/12.07 ( 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)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7362_2) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14853,plain,
% 11.93/12.07 ( 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)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2083]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14854,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.93/12.07 | 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)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14853]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2080,plain,
% 11.93/12.07 ( 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)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7363_2) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14847,plain,
% 11.93/12.07 ( 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)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2080]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14848,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 11.93/12.07 | 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)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14847]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2077,plain,
% 11.93/12.07 ( 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)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7364_2) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14841,plain,
% 11.93/12.07 ( 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)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2077]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14842,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.93/12.07 | 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)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14841]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2074,plain,
% 11.93/12.07 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.93/12.07 | ~ c_lessequals(X1,X3,X0)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7365_2) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14835,plain,
% 11.93/12.07 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.93/12.07 | ~ c_lessequals(X1,X3,X0)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2074]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14836,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.93/12.07 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.93/12.07 | ~ c_lessequals(X1,X3,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14835]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2071,plain,
% 11.93/12.07 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.93/12.07 | ~ c_lessequals(X2,X3,X0)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7366_2) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14829,plain,
% 11.93/12.07 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.93/12.07 | ~ c_lessequals(X2,X3,X0)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2071]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14830,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.93/12.07 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.93/12.07 | ~ c_lessequals(X2,X3,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14829]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2068,plain,
% 11.93/12.07 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.93/12.07 | ~ c_lessequals(X1,X3,X0)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7367_2) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14823,plain,
% 11.93/12.07 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.93/12.07 | ~ c_lessequals(X1,X3,X0)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2068]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14824,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 11.93/12.07 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.93/12.07 | ~ c_lessequals(X1,X3,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14823]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2065,plain,
% 11.93/12.07 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.93/12.07 | ~ c_lessequals(X2,X3,X0)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7368_2) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14817,plain,
% 11.93/12.07 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.93/12.07 | ~ c_lessequals(X2,X3,X0)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2065]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14818,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 11.93/12.07 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.93/12.07 | ~ c_lessequals(X2,X3,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14817]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2061,plain,
% 11.93/12.07 ( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 11.93/12.07 | ~ class_Int_Onumber(X1)
% 11.93/12.07 | ~ class_Orderings_Olinorder(X1) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7369_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14809,plain,
% 11.93/12.07 ( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 11.93/12.07 | ~ class_Int_Onumber(X1)
% 11.93/12.07 | ~ class_Orderings_Olinorder(X1) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2061]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14810,plain,
% 11.93/12.07 ( ~ class_Orderings_Olinorder(X0)
% 11.93/12.07 | ~ class_Int_Onumber(X0)
% 11.93/12.07 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14809]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2057,plain,
% 11.93/12.07 ( c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat)
% 11.93/12.07 | 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)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7370_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14801,plain,
% 11.93/12.07 ( c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat)
% 11.93/12.07 | 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)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2057]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14802,plain,
% 11.93/12.07 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.07 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 11.93/12.07 | 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)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14801]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2053,plain,
% 11.93/12.07 ( c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat)
% 11.93/12.07 | 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)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7371_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14793,plain,
% 11.93/12.07 ( c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat)
% 11.93/12.07 | 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)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2053]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14794,plain,
% 11.93/12.07 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.07 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 11.93/12.07 | 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)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14793]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2049,plain,
% 11.93/12.07 ( c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat)
% 11.93/12.07 | c_lessequals(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)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7372_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14785,plain,
% 11.93/12.07 ( c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat)
% 11.93/12.07 | c_lessequals(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)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2049]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14786,plain,
% 11.93/12.07 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.07 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 11.93/12.07 | c_lessequals(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)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14785]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2047,plain,
% 11.93/12.07 ( 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)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7373_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14781,plain,
% 11.93/12.07 ( 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)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2047]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14782,plain,
% 11.93/12.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
% 11.93/12.07 | 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) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14781]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2041,plain,
% 11.93/12.07 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),c_Divides_Odiv__class_Odiv(X2,X1,tc_nat),tc_nat)
% 11.93/12.07 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7375_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14769,plain,
% 11.93/12.07 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),c_Divides_Odiv__class_Odiv(X2,X1,tc_nat),tc_nat)
% 11.93/12.07 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2041]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2039,plain,
% 11.93/12.07 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 11.93/12.07 | ~ c_lessequals(X2,X1,tc_nat) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7376_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14765,plain,
% 11.93/12.07 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 11.93/12.07 | ~ c_lessequals(X2,X1,tc_nat) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2039]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2037,plain,
% 11.93/12.07 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.93/12.07 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7377_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14761,plain,
% 11.93/12.07 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.93/12.07 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2037]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2035,plain,
% 11.93/12.07 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_HOL_Oone__class_Oone(tc_nat)) = X3
% 11.93/12.07 | ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7378_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14757,plain,
% 11.93/12.07 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_HOL_Oone__class_Oone(tc_nat)) = X3
% 11.93/12.07 | ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2035]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14758,plain,
% 11.93/12.07 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 11.93/12.07 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X3),c_HOL_Oone__class_Oone(tc_nat)) = X3 ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14757]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2033,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Divides_Odiv__class_Odiv(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7379_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14753,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Divides_Odiv__class_Odiv(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),tc_nat)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2033]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2032,plain,
% 11.93/12.07 ( ~ 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)
% 11.93/12.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.93/12.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7380_0) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14751,plain,
% 11.93/12.07 ( ~ 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)
% 11.93/12.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.93/12.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2032]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2030,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.93/12.07 | ~ 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) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7380_2) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14747,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.93/12.07 | ~ 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) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2030]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14748,plain,
% 11.93/12.07 ( ~ 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)
% 11.93/12.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14747]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2023,plain,
% 11.93/12.07 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X0),X3) = X0
% 11.93/12.07 | ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7382_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14733,plain,
% 11.93/12.07 ( hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X0),X3) = X0
% 11.93/12.07 | ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2023]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14734,plain,
% 11.93/12.07 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2)
% 11.93/12.07 | hAPP(hAPP(c_Power_Opower_Opower(X0,X1,X2),X0),X3) = X0 ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14733]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2021,plain,
% 11.93/12.07 ( 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))
% 11.93/12.07 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7383_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14729,plain,
% 11.93/12.07 ( 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))
% 11.93/12.07 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2021]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14730,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 11.93/12.07 | 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)) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14729]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2019,plain,
% 11.93/12.07 ( 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))
% 11.93/12.07 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7384_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14725,plain,
% 11.93/12.07 ( 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))
% 11.93/12.07 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2019]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14726,plain,
% 11.93/12.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.07 | 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)) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14725]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_2015,plain,
% 11.93/12.07 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X1) = X0
% 11.93/12.07 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7386_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14717,plain,
% 11.93/12.07 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X1) = X0
% 11.93/12.07 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_2015]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14718,plain,
% 11.93/12.07 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.93/12.07 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X0) = X1 ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14717]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1993,plain,
% 11.93/12.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.07 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7392_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14673,plain,
% 11.93/12.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.07 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1993]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14674,plain,
% 11.93/12.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.93/12.07 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14673]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1989,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),X0,tc_nat)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7393_2) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14665,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),X0,tc_nat)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1989]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14666,plain,
% 11.93/12.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
% 11.93/12.07 | c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),X0,tc_nat) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14665]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1977,plain,
% 11.93/12.07 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.07 | X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.07 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7396_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14641,plain,
% 11.93/12.07 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.07 | X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.07 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1977]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14642,plain,
% 11.93/12.07 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.07 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14641]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1971,plain,
% 11.93/12.07 ( 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)
% 11.93/12.07 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7398_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14629,plain,
% 11.93/12.07 ( 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)
% 11.93/12.07 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1971]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14630,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.93/12.07 | 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) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14629]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1968,plain,
% 11.93/12.07 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.07 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 11.93/12.07 | ~ class_Divides_Osemiring__div(X1) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7399_2) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14623,plain,
% 11.93/12.07 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.07 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 11.93/12.07 | ~ class_Divides_Osemiring__div(X1) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1968]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14624,plain,
% 11.93/12.07 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.07 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) = c_Divides_Odiv__class_Odiv(X1,X3,X0)
% 11.93/12.07 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14623]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1965,plain,
% 11.93/12.07 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.07 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 11.93/12.07 | ~ class_Divides_Osemiring__div(X1) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7400_2) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14617,plain,
% 11.93/12.07 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.07 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 11.93/12.07 | ~ class_Divides_Osemiring__div(X1) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1965]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14618,plain,
% 11.93/12.07 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.07 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) = c_Divides_Odiv__class_Odiv(X2,X3,X0)
% 11.93/12.07 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14617]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1962,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7401_2) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14611,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1962]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14612,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14611]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1959,plain,
% 11.93/12.07 ( c_lessequals(X0,X1,X2)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7402_2) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14605,plain,
% 11.93/12.07 ( c_lessequals(X0,X1,X2)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1959]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14606,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | c_lessequals(X1,X2,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14605]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1946,plain,
% 11.93/12.07 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.07 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.07 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7405_2) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14579,plain,
% 11.93/12.07 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.07 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.07 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1946]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14580,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 11.93/12.07 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14579]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1943,plain,
% 11.93/12.07 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.93/12.07 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7406_2) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14573,plain,
% 11.93/12.07 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.93/12.07 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1943]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14574,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 11.93/12.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.93/12.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14573]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1940,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7407_2) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14567,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1940]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14568,plain,
% 11.93/12.07 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14567]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1937,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.93/12.07 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7408_2) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14561,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.93/12.07 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1937]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14562,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.93/12.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14561]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1934,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7409_2) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14555,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1934]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14556,plain,
% 11.93/12.07 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14555]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1931,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.07 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7410_2) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14549,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.07 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1931]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14550,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14549]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1928,plain,
% 11.93/12.07 ( 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)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7411_2) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14543,plain,
% 11.93/12.07 ( 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)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1928]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1924,plain,
% 11.93/12.07 ( c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 11.93/12.07 | ~ c_lessequals(X2,X1,X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7413_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14535,plain,
% 11.93/12.07 ( c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 11.93/12.07 | ~ c_lessequals(X2,X1,X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1924]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1920,plain,
% 11.93/12.07 ( c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 11.93/12.07 | ~ c_lessequals(X2,X1,X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7414_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14527,plain,
% 11.93/12.07 ( c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2),X0)
% 11.93/12.07 | ~ c_lessequals(X2,X1,X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1920]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1908,plain,
% 11.93/12.07 ( c_lessequals(X0,X1,X2)
% 11.93/12.07 | ~ c_lessequals(X3,X4,X2)
% 11.93/12.07 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7417_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14503,plain,
% 11.93/12.07 ( c_lessequals(X0,X1,X2)
% 11.93/12.07 | ~ c_lessequals(X3,X4,X2)
% 11.93/12.07 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1908]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14504,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.07 | c_lessequals(X1,X2,X0)
% 11.93/12.07 | ~ c_lessequals(X3,X4,X0)
% 11.93/12.07 | c_HOL_Ominus__class_Ominus(X4,X3,X0) != c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14503]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1904,plain,
% 11.93/12.07 ( c_lessequals(X0,X1,X2)
% 11.93/12.07 | ~ c_lessequals(X3,X4,X2)
% 11.93/12.07 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7418_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14495,plain,
% 11.93/12.07 ( c_lessequals(X0,X1,X2)
% 11.93/12.07 | ~ c_lessequals(X3,X4,X2)
% 11.93/12.07 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1904]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14496,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.07 | c_lessequals(X1,X2,X0)
% 11.93/12.07 | ~ c_lessequals(X3,X4,X0)
% 11.93/12.07 | c_HOL_Ominus__class_Ominus(X2,X1,X0) != c_HOL_Ominus__class_Ominus(X4,X3,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14495]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1900,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 11.93/12.07 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7419_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14487,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 11.93/12.07 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1900]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14488,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.07 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 11.93/12.07 | c_HOL_Ominus__class_Ominus(X3,X4,X0) != c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14487]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1896,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 11.93/12.07 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7420_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14479,plain,
% 11.93/12.07 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 11.93/12.07 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 11.93/12.07 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1896]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14480,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.07 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 11.93/12.07 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14479]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1894,plain,
% 11.93/12.07 ( c_Divides_Odiv__class_Odiv(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) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.07 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7421_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14475,plain,
% 11.93/12.07 ( c_Divides_Odiv__class_Odiv(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) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.07 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1894]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14476,plain,
% 11.93/12.07 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.07 | c_Divides_Odiv__class_Odiv(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) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14475]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1892,plain,
% 11.93/12.07 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.07 | 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)),c_Parity_Osko__Parity__Xodd__Suc__mult__two__ex__1__1(X0))) = X0 ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7422_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14471,plain,
% 11.93/12.07 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.07 | 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)),c_Parity_Osko__Parity__Xodd__Suc__mult__two__ex__1__1(X0))) = X0 ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1892]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1890,plain,
% 11.93/12.07 ( 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)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7423_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14467,plain,
% 11.93/12.07 ( 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)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1890]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1888,plain,
% 11.93/12.07 ( 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)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7424_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14463,plain,
% 11.93/12.07 ( 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)
% 11.93/12.07 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1888]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1882,plain,
% 11.93/12.07 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 11.93/12.07 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7427_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14451,plain,
% 11.93/12.07 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 11.93/12.07 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1882]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1880,plain,
% 11.93/12.07 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 11.93/12.07 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7428_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14447,plain,
% 11.93/12.07 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 11.93/12.07 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1880]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1878,plain,
% 11.93/12.07 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 11.93/12.07 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7429_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14443,plain,
% 11.93/12.07 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 11.93/12.07 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1878]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1876,plain,
% 11.93/12.07 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 11.93/12.07 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7430_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14439,plain,
% 11.93/12.07 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 11.93/12.07 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1876]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1874,plain,
% 11.93/12.07 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat)
% 11.93/12.07 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7431_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14435,plain,
% 11.93/12.07 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat)
% 11.93/12.07 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1874]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14436,plain,
% 11.93/12.07 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.07 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14435]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1872,plain,
% 11.93/12.07 ( 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)
% 11.93/12.07 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7432_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14431,plain,
% 11.93/12.07 ( 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)
% 11.93/12.07 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1872]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14432,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.93/12.07 | 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) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14431]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1869,plain,
% 11.93/12.07 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 11.93/12.07 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7433_2) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14425,plain,
% 11.93/12.07 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 11.93/12.07 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1869]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14426,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 11.93/12.07 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.07 | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14425]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1867,plain,
% 11.93/12.07 ( 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))
% 11.93/12.07 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7434_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14421,plain,
% 11.93/12.07 ( 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))
% 11.93/12.07 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1867]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14422,plain,
% 11.93/12.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.07 | 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)) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14421]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1865,plain,
% 11.93/12.07 ( 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))
% 11.93/12.07 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7435_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14417,plain,
% 11.93/12.07 ( 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))
% 11.93/12.07 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1865]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14418,plain,
% 11.93/12.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.07 | 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)) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14417]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1863,plain,
% 11.93/12.07 ( 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))
% 11.93/12.07 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7436_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14413,plain,
% 11.93/12.07 ( 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))
% 11.93/12.07 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1863]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14414,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 11.93/12.07 | 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)) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14413]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1861,plain,
% 11.93/12.07 ( 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))
% 11.93/12.07 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7437_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14409,plain,
% 11.93/12.07 ( 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))
% 11.93/12.07 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1861]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14410,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.93/12.07 | 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)) ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14409]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1859,plain,
% 11.93/12.07 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2)) = X2
% 11.93/12.07 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7438_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14405,plain,
% 11.93/12.07 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2)) = X2
% 11.93/12.07 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1859]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14406,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.93/12.07 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2)) = X2 ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14405]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1857,plain,
% 11.93/12.07 ( 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
% 11.93/12.07 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7439_1) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14401,plain,
% 11.93/12.07 ( 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
% 11.93/12.07 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1857]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14402,plain,
% 11.93/12.07 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.93/12.07 | 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 ),
% 11.93/12.07 inference(rewriting,[status(thm)],[c_14401]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_1853,plain,
% 11.93/12.07 ( c_lessequals(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),X0)
% 11.93/12.07 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.07 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.07 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7441_3) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14393,plain,
% 11.93/12.07 ( c_lessequals(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),X0)
% 11.93/12.07 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.07 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 11.93/12.07 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.07 inference(copy,[status(esa)],[c_1853]) ).
% 11.93/12.07
% 11.93/12.07 cnf(c_14394,plain,
% 11.93/12.07 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.07 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 11.93/12.07 | c_lessequals(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),X0)
% 11.93/12.07 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14393]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1850,plain,
% 11.93/12.08 ( 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)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7442_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14387,plain,
% 11.93/12.08 ( 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)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1850]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14388,plain,
% 11.93/12.08 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.93/12.08 | 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)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14387]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1848,plain,
% 11.93/12.08 ( c_Divides_Odiv__class_Odiv(hAPP(c_Suc,X0),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) = c_Divides_Odiv__class_Odiv(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)
% 11.93/12.08 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7443_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14383,plain,
% 11.93/12.08 ( c_Divides_Odiv__class_Odiv(hAPP(c_Suc,X0),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) = c_Divides_Odiv__class_Odiv(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)
% 11.93/12.08 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1848]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14384,plain,
% 11.93/12.08 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.08 | c_Divides_Odiv__class_Odiv(hAPP(c_Suc,X0),hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) = c_Divides_Odiv__class_Odiv(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14383]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1846,plain,
% 11.93/12.08 ( hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1
% 11.93/12.08 | c_Divides_Odiv__class_Omod(hAPP(c_Suc,X0),X1,tc_nat) = hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7444_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14379,plain,
% 11.93/12.08 ( hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1
% 11.93/12.08 | c_Divides_Odiv__class_Omod(hAPP(c_Suc,X0),X1,tc_nat) = hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1846]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1842,plain,
% 11.93/12.08 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 11.93/12.08 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7446_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14371,plain,
% 11.93/12.08 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 11.93/12.08 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1842]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14372,plain,
% 11.93/12.08 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.93/12.08 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14371]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1841,plain,
% 11.93/12.08 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.93/12.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1))
% 11.93/12.08 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.08 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7447_0) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14369,plain,
% 11.93/12.08 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.93/12.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1))
% 11.93/12.08 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.08 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1841]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1838,plain,
% 11.93/12.08 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.08 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2)),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0)) = hAPP(c_HOL_Oinverse__class_Oinverse(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2))
% 11.93/12.08 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7447_3) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14363,plain,
% 11.93/12.08 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.08 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2)),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0)) = hAPP(c_HOL_Oinverse__class_Oinverse(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2))
% 11.93/12.08 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1838]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14364,plain,
% 11.93/12.08 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.93/12.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1))
% 11.93/12.08 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.08 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14363]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1836,plain,
% 11.93/12.08 ( hAPP(c_Suc,c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = c_Int_Onumber__class_Onumber__of(X0,tc_nat)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7449_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14359,plain,
% 11.93/12.08 ( hAPP(c_Suc,c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = c_Int_Onumber__class_Onumber__of(X0,tc_nat)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1836]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14360,plain,
% 11.93/12.08 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat)
% 11.93/12.08 | hAPP(c_Suc,c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = c_Int_Onumber__class_Onumber__of(X0,tc_nat) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14359]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1824,plain,
% 11.93/12.08 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Fact_Ofact__class_Ofact(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)) = c_Fact_Ofact__class_Ofact(X0,tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7452_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14335,plain,
% 11.93/12.08 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Fact_Ofact__class_Ofact(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)) = c_Fact_Ofact__class_Ofact(X0,tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1824]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14336,plain,
% 11.93/12.08 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Fact_Ofact__class_Ofact(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)) = c_Fact_Ofact__class_Ofact(X0,tc_nat)
% 11.93/12.08 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14335]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1822,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7453_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14331,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1822]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14332,plain,
% 11.93/12.08 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 11.93/12.08 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14331]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1820,plain,
% 11.93/12.08 ( 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)
% 11.93/12.08 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7454_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14327,plain,
% 11.93/12.08 ( 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)
% 11.93/12.08 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1820]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1810,plain,
% 11.93/12.08 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.08 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.08 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7457_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14307,plain,
% 11.93/12.08 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.08 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.08 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1810]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14308,plain,
% 11.93/12.08 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 11.93/12.08 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14307]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1798,plain,
% 11.93/12.08 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 11.93/12.08 | ~ hBOOL(hAPP(X0,X1)) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7462_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14283,plain,
% 11.93/12.08 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 11.93/12.08 | ~ hBOOL(hAPP(X0,X1)) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1798]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1796,plain,
% 11.93/12.08 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2))
% 11.93/12.08 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7463_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14279,plain,
% 11.93/12.08 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2))
% 11.93/12.08 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1796]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14280,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 11.93/12.08 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14279]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1794,plain,
% 11.93/12.08 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1))
% 11.93/12.08 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7464_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14275,plain,
% 11.93/12.08 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1))
% 11.93/12.08 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1794]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14276,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.93/12.08 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14275]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1791,plain,
% 11.93/12.08 ( 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))
% 11.93/12.08 | ~ class_Int_Onumber(X0)
% 11.93/12.08 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7465_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14269,plain,
% 11.93/12.08 ( 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))
% 11.93/12.08 | ~ class_Int_Onumber(X0)
% 11.93/12.08 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1791]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14270,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 11.93/12.08 | ~ class_Int_Onumber(X0)
% 11.93/12.08 | 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)) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14269]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1784,plain,
% 11.93/12.08 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat)
% 11.93/12.08 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7467_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14255,plain,
% 11.93/12.08 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat)
% 11.93/12.08 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1784]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14256,plain,
% 11.93/12.08 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.93/12.08 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat) = c_Divides_Odiv__class_Omod(X1,X0,tc_nat) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14255]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1770,plain,
% 11.93/12.08 ( 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)
% 11.93/12.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7470_3) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14227,plain,
% 11.93/12.08 ( 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)
% 11.93/12.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1770]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14228,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.93/12.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | 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) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14227]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1765,plain,
% 11.93/12.08 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.08 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X0,X1)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0),c_HOL_Oone__class_Oone(X1),X1)
% 11.93/12.08 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7471_4) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14217,plain,
% 11.93/12.08 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.08 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X0,X1)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0),c_HOL_Oone__class_Oone(X1),X1)
% 11.93/12.08 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1765]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1758,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,hAPP(c_Suc,X1),tc_nat),X0,tc_nat)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7474_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14203,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,hAPP(c_Suc,X1),tc_nat),X0,tc_nat)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1758]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14204,plain,
% 11.93/12.08 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.08 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,hAPP(c_Suc,X1),tc_nat),X0,tc_nat) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14203]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1756,plain,
% 11.93/12.08 ( X0 = X1
% 11.93/12.08 | 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) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7475_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14199,plain,
% 11.93/12.08 ( X0 = X1
% 11.93/12.08 | 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) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1756]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14200,plain,
% 11.93/12.08 ( 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)
% 11.93/12.08 | X1 = X2 ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14199]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1751,plain,
% 11.93/12.08 ( c_HOL_Oinverse__class_Odivide(X0,X1,X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
% 11.93/12.08 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 11.93/12.08 | X4 = c_HOL_Ozero__class_Ozero(X2)
% 11.93/12.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X4) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1)
% 11.93/12.08 | ~ class_Ring__and__Field_Ofield(X2) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7476_4) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14189,plain,
% 11.93/12.08 ( c_HOL_Oinverse__class_Odivide(X0,X1,X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
% 11.93/12.08 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 11.93/12.08 | X4 = c_HOL_Ozero__class_Ozero(X2)
% 11.93/12.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X4) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1)
% 11.93/12.08 | ~ class_Ring__and__Field_Ofield(X2) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1751]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14190,plain,
% 11.93/12.08 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.93/12.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)
% 11.93/12.08 | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 11.93/12.08 | X4 = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.08 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14189]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1747,plain,
% 11.93/12.08 ( 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)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7477_3) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14181,plain,
% 11.93/12.08 ( 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)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1747]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1743,plain,
% 11.93/12.08 ( 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)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7478_3) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14173,plain,
% 11.93/12.08 ( 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)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1743]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1739,plain,
% 11.93/12.08 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 11.93/12.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7479_3) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14165,plain,
% 11.93/12.08 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 11.93/12.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1739]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1735,plain,
% 11.93/12.08 ( c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7480_3) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14157,plain,
% 11.93/12.08 ( c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1735]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1733,plain,
% 11.93/12.08 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.08 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7481_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14153,plain,
% 11.93/12.08 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.08 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1733]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14154,plain,
% 11.93/12.08 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 11.93/12.08 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14153]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1731,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.08 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7482_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14149,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.08 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1731]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14150,plain,
% 11.93/12.08 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 11.93/12.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14149]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1729,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.08 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7483_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14145,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.08 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1729]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14146,plain,
% 11.93/12.08 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 11.93/12.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14145]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1725,plain,
% 11.93/12.08 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.08 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.08 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7484_3) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14137,plain,
% 11.93/12.08 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.08 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.08 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1725]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14138,plain,
% 11.93/12.08 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.08 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.08 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14137]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1715,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.08 | ~ 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) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7487_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14117,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.08 | ~ 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) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1715]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14118,plain,
% 11.93/12.08 ( ~ 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)
% 11.93/12.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14117]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1713,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.08 | ~ 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) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7488_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14113,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.08 | ~ 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) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1713]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14114,plain,
% 11.93/12.08 ( ~ 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)
% 11.93/12.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14113]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1702,plain,
% 11.93/12.08 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7493_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14091,plain,
% 11.93/12.08 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1702]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14092,plain,
% 11.93/12.08 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.08 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14091]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1695,plain,
% 11.93/12.08 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(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),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 11.93/12.08 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7495_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14077,plain,
% 11.93/12.08 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(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),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))
% 11.93/12.08 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1695]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14078,plain,
% 11.93/12.08 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 11.93/12.08 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(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),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14077]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1692,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 11.93/12.08 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7496_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14071,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 11.93/12.08 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1692]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1684,plain,
% 11.93/12.08 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.08 | c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X0),X1)
% 11.93/12.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7498_3) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14055,plain,
% 11.93/12.08 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.08 | c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X0),X1)
% 11.93/12.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1684]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14056,plain,
% 11.93/12.08 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.08 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.08 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0)
% 11.93/12.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14055]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1680,plain,
% 11.93/12.08 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X0),X1)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7499_3) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14047,plain,
% 11.93/12.08 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X0),X1)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1680]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14048,plain,
% 11.93/12.08 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.08 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14047]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1676,plain,
% 11.93/12.08 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.08 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7500_3) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14039,plain,
% 11.93/12.08 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.08 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1676]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14040,plain,
% 11.93/12.08 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.08 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.08 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14039]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1674,plain,
% 11.93/12.08 ( c_lessequals(X0,X1,tc_nat)
% 11.93/12.08 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),X1,tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7501_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14035,plain,
% 11.93/12.08 ( c_lessequals(X0,X1,tc_nat)
% 11.93/12.08 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),X1,tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1674]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14036,plain,
% 11.93/12.08 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.93/12.08 | c_lessequals(X1,X2,tc_nat) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14035]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1672,plain,
% 11.93/12.08 ( c_lessequals(X0,X1,tc_nat)
% 11.93/12.08 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7502_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14031,plain,
% 11.93/12.08 ( c_lessequals(X0,X1,tc_nat)
% 11.93/12.08 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1672]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14032,plain,
% 11.93/12.08 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.93/12.08 | c_lessequals(X0,X2,tc_nat) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14031]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1670,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7503_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14027,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1670]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14028,plain,
% 11.93/12.08 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.93/12.08 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14027]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1666,plain,
% 11.93/12.08 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.08 | 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)
% 11.93/12.08 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7504_3) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14019,plain,
% 11.93/12.08 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.08 | 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)
% 11.93/12.08 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1666]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14020,plain,
% 11.93/12.08 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.08 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 11.93/12.08 | 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)
% 11.93/12.08 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14019]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1664,plain,
% 11.93/12.08 ( c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X0),X1,tc_nat) = hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat))
% 11.93/12.08 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7505_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14015,plain,
% 11.93/12.08 ( c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X0),X1,tc_nat) = hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat))
% 11.93/12.08 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1664]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_14016,plain,
% 11.93/12.08 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.93/12.08 | c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X1),X0,tc_nat) = hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_14015]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1652,plain,
% 11.93/12.08 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1
% 11.93/12.08 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7508_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13991,plain,
% 11.93/12.08 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1
% 11.93/12.08 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1652]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13992,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.93/12.08 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1 ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13991]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1650,plain,
% 11.93/12.08 ( ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7509_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13987,plain,
% 11.93/12.08 ( ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1650]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13988,plain,
% 11.93/12.08 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.08 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13987]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1647,plain,
% 11.93/12.08 ( X0 = hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)
% 11.93/12.08 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)) != X3
% 11.93/12.08 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7510_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13981,plain,
% 11.93/12.08 ( X0 = hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)
% 11.93/12.08 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)) != X3
% 11.93/12.08 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1647]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13982,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 11.93/12.08 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) != X2
% 11.93/12.08 | X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X3) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13981]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1644,plain,
% 11.93/12.08 ( c_lessequals(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)
% 11.93/12.08 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7511_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13975,plain,
% 11.93/12.08 ( c_lessequals(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)
% 11.93/12.08 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X2,tc_nat),tc_nat)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1644]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13976,plain,
% 11.93/12.08 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.08 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(X1,tc_nat),tc_nat)
% 11.93/12.08 | c_lessequals(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) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13975]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1638,plain,
% 11.93/12.08 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.08 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X0))
% 11.93/12.08 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7514_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13963,plain,
% 11.93/12.08 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.08 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X0))
% 11.93/12.08 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1638]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13964,plain,
% 11.93/12.08 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 11.93/12.08 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.08 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1)) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13963]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1635,plain,
% 11.93/12.08 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.08 | 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)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7515_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13957,plain,
% 11.93/12.08 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.08 | 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)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1635]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13958,plain,
% 11.93/12.08 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.08 | 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)
% 11.93/12.08 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13957]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1620,plain,
% 11.93/12.08 ( c_lessequals(X0,X1,X2)
% 11.93/12.08 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X0),X2)
% 11.93/12.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7520_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13927,plain,
% 11.93/12.08 ( c_lessequals(X0,X1,X2)
% 11.93/12.08 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X0),X2)
% 11.93/12.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1620]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13928,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.08 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 11.93/12.08 | c_lessequals(X2,X1,X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13927]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1617,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X0),X2)
% 11.93/12.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7521_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13921,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X0),X2)
% 11.93/12.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1617]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13922,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13921]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1614,plain,
% 11.93/12.08 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7522_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13915,plain,
% 11.93/12.08 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1614]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13916,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 11.93/12.08 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13915]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1611,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7523_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13909,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1611]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13910,plain,
% 11.93/12.08 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13909]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1608,plain,
% 11.93/12.08 ( c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.93/12.08 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7524_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13903,plain,
% 11.93/12.08 ( c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.93/12.08 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1608]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13904,plain,
% 11.93/12.08 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.93/12.08 | c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.93/12.08 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13903]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1605,plain,
% 11.93/12.08 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.93/12.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7525_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13897,plain,
% 11.93/12.08 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.93/12.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1605]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13898,plain,
% 11.93/12.08 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.93/12.08 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.93/12.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13897]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1602,plain,
% 11.93/12.08 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.93/12.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7526_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13891,plain,
% 11.93/12.08 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.93/12.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1602]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13892,plain,
% 11.93/12.08 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.08 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.93/12.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13891]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1599,plain,
% 11.93/12.08 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.93/12.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.08 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7527_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13885,plain,
% 11.93/12.08 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.93/12.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.08 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1599]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13886,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 11.93/12.08 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.93/12.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13885]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1596,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.08 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7528_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13879,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.08 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1596]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13880,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13879]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1593,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7529_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13873,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1593]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13874,plain,
% 11.93/12.08 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13873]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1590,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7530_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13867,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1590]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13868,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13867]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1585,plain,
% 11.93/12.08 ( c_lessequals(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)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7532_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13857,plain,
% 11.93/12.08 ( c_lessequals(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)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1585]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13858,plain,
% 11.93/12.08 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.08 | c_lessequals(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) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13857]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1583,plain,
% 11.93/12.08 ( c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0))
% 11.93/12.08 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7533_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13853,plain,
% 11.93/12.08 ( c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0))
% 11.93/12.08 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1583]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13854,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 11.93/12.08 | c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13853]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1581,plain,
% 11.93/12.08 ( hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X0,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7534_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13849,plain,
% 11.93/12.08 ( hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X0,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1581]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13850,plain,
% 11.93/12.08 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.08 | hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X0,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13849]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1579,plain,
% 11.93/12.08 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7535_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13845,plain,
% 11.93/12.08 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1579]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13846,plain,
% 11.93/12.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13845]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1576,plain,
% 11.93/12.08 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.08 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0)),X2) = hAPP(c_HOL_Oinverse__class_Oinverse(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2))
% 11.93/12.08 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7536_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13839,plain,
% 11.93/12.08 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.08 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0)),X2) = hAPP(c_HOL_Oinverse__class_Oinverse(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2))
% 11.93/12.08 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1576]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13840,plain,
% 11.93/12.08 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.93/12.08 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),X2) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 11.93/12.08 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13839]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1574,plain,
% 11.93/12.08 ( c_Divides_Odiv__class_Omod(hAPP(c_Suc,X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.08 | hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1 ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7537_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13835,plain,
% 11.93/12.08 ( c_Divides_Odiv__class_Omod(hAPP(c_Suc,X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.08 | hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1 ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1574]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13836,plain,
% 11.93/12.08 ( hAPP(c_Suc,c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1
% 11.93/12.08 | c_Divides_Odiv__class_Omod(hAPP(c_Suc,X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13835]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1572,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.08 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7538_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13831,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.08 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1572]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1569,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7539_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13825,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1569]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13826,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13825]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1566,plain,
% 11.93/12.08 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.93/12.08 | ~ c_lessequals(X0,X1,X2)
% 11.93/12.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7540_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13819,plain,
% 11.93/12.08 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.93/12.08 | ~ c_lessequals(X0,X1,X2)
% 11.93/12.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1566]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13820,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.08 | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.08 | ~ c_lessequals(X1,X2,X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13819]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1564,plain,
% 11.93/12.08 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2))
% 11.93/12.08 | ~ class_Ring__and__Field_Oring(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7542_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13815,plain,
% 11.93/12.08 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2))
% 11.93/12.08 | ~ class_Ring__and__Field_Oring(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1564]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13816,plain,
% 11.93/12.08 ( ~ class_Ring__and__Field_Oring(X0)
% 11.93/12.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13815]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1560,plain,
% 11.93/12.08 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2))
% 11.93/12.08 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7544_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13807,plain,
% 11.93/12.08 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2))
% 11.93/12.08 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1560]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13808,plain,
% 11.93/12.08 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 11.93/12.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13807]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1558,plain,
% 11.93/12.08 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.08 | 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)) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7549_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13803,plain,
% 11.93/12.08 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.08 | 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)) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1558]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1554,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.08 | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 11.93/12.08 | c_lessequals(X2,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7551_0) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13795,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.08 | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 11.93/12.08 | c_lessequals(X2,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1554]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1552,plain,
% 11.93/12.08 ( c_lessequals(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)
% 11.93/12.08 | ~ c_lessequals(X2,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 11.93/12.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7551_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13791,plain,
% 11.93/12.08 ( c_lessequals(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)
% 11.93/12.08 | ~ c_lessequals(X2,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 11.93/12.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1552]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13792,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.08 | c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 11.93/12.08 | ~ c_lessequals(X2,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13791]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1548,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.08 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0)
% 11.93/12.08 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X1,X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7553_0) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13783,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.08 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0)
% 11.93/12.08 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X1,X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1548]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1546,plain,
% 11.93/12.08 ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0)
% 11.93/12.08 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X1,X0)
% 11.93/12.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7553_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13779,plain,
% 11.93/12.08 ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0)
% 11.93/12.08 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X1,X0)
% 11.93/12.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1546]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13780,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.08 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0)
% 11.93/12.08 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X1,X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13779]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1542,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(X2,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7555_0) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13771,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(X2,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1542]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1540,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X2,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 11.93/12.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7555_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13767,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X2,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 11.93/12.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1540]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13768,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X2,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13767]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1536,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X1,X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7557_0) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13759,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X1,X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1536]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1534,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X1,X0)
% 11.93/12.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7557_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13755,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X1,X0)
% 11.93/12.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1534]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13756,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X1,X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13755]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1532,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X1,tc_nat)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7558_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13751,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X1,tc_nat)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1532]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13752,plain,
% 11.93/12.08 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.08 | c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,X0,tc_nat),X0,tc_nat) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13751]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1530,plain,
% 11.93/12.08 ( c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X1,tc_nat)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7559_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13747,plain,
% 11.93/12.08 ( c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X1,tc_nat)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1530]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1527,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7560_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13741,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1527]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1525,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7561_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13737,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1525]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1523,plain,
% 11.93/12.08 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X1
% 11.93/12.08 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7563_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13733,plain,
% 11.93/12.08 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X1
% 11.93/12.08 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1523]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13734,plain,
% 11.93/12.08 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.93/12.08 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X0 ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13733]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1521,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7564_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13729,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1521]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1518,plain,
% 11.93/12.08 ( 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)
% 11.93/12.08 | c_Int_Onumber__class_Onumber__of(X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7565_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13723,plain,
% 11.93/12.08 ( 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)
% 11.93/12.08 | c_Int_Onumber__class_Onumber__of(X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1518]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13724,plain,
% 11.93/12.08 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.08 | 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)
% 11.93/12.08 | c_Int_Onumber__class_Onumber__of(X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13723]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1504,plain,
% 11.93/12.08 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)) = X2
% 11.93/12.08 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7568_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13695,plain,
% 11.93/12.08 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)) = X2
% 11.93/12.08 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1504]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13696,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.93/12.08 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)) = X2 ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13695]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1502,plain,
% 11.93/12.08 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)) = X2
% 11.93/12.08 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7569_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13691,plain,
% 11.93/12.08 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)) = X2
% 11.93/12.08 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1502]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13692,plain,
% 11.93/12.08 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 11.93/12.08 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)) = X2 ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13691]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1494,plain,
% 11.93/12.08 ( 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))
% 11.93/12.08 | ~ class_Power_Opower(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7573_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13675,plain,
% 11.93/12.08 ( 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))
% 11.93/12.08 | ~ class_Power_Opower(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1494]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13676,plain,
% 11.93/12.08 ( ~ class_Power_Opower(X0)
% 11.93/12.08 | 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)) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13675]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1490,plain,
% 11.93/12.08 ( 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))
% 11.93/12.08 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7575_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13667,plain,
% 11.93/12.08 ( 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))
% 11.93/12.08 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1490]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13668,plain,
% 11.93/12.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.08 | 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)) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13667]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1485,plain,
% 11.93/12.08 ( 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)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7577_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13657,plain,
% 11.93/12.08 ( 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)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1485]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1483,plain,
% 11.93/12.08 ( 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)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7578_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13653,plain,
% 11.93/12.08 ( 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)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1483]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1481,plain,
% 11.93/12.08 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1
% 11.93/12.08 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7579_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13649,plain,
% 11.93/12.08 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1
% 11.93/12.08 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1481]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13650,plain,
% 11.93/12.08 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.93/12.08 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1 ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13649]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1480,plain,
% 11.93/12.08 ( ~ class_Orderings_Oorder(X0)
% 11.93/12.08 | ~ c_lessequals(X1,X2,X0)
% 11.93/12.08 | ~ c_lessequals(X2,X3,X0)
% 11.93/12.08 | c_lessequals(X1,X3,X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7580_0) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13647,plain,
% 11.93/12.08 ( ~ class_Orderings_Oorder(X0)
% 11.93/12.08 | ~ c_lessequals(X1,X2,X0)
% 11.93/12.08 | ~ c_lessequals(X2,X3,X0)
% 11.93/12.08 | c_lessequals(X1,X3,X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1480]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1479,plain,
% 11.93/12.08 ( ~ class_Orderings_Oorder(X0)
% 11.93/12.08 | ~ c_lessequals(X1,X2,X0)
% 11.93/12.08 | c_lessequals(X1,X3,X0)
% 11.93/12.08 | ~ c_lessequals(X2,X3,X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7580_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13645,plain,
% 11.93/12.08 ( ~ class_Orderings_Oorder(X0)
% 11.93/12.08 | ~ c_lessequals(X1,X2,X0)
% 11.93/12.08 | c_lessequals(X1,X3,X0)
% 11.93/12.08 | ~ c_lessequals(X2,X3,X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1479]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1477,plain,
% 11.93/12.08 ( c_lessequals(X0,X1,X2)
% 11.93/12.08 | ~ c_lessequals(X3,X1,X2)
% 11.93/12.08 | ~ c_lessequals(X0,X3,X2)
% 11.93/12.08 | ~ class_Orderings_Oorder(X2) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7580_3) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13641,plain,
% 11.93/12.08 ( c_lessequals(X0,X1,X2)
% 11.93/12.08 | ~ c_lessequals(X3,X1,X2)
% 11.93/12.08 | ~ c_lessequals(X0,X3,X2)
% 11.93/12.08 | ~ class_Orderings_Oorder(X2) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1477]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13642,plain,
% 11.93/12.08 ( ~ class_Orderings_Oorder(X0)
% 11.93/12.08 | c_lessequals(X1,X2,X0)
% 11.93/12.08 | ~ c_lessequals(X3,X2,X0)
% 11.93/12.08 | ~ c_lessequals(X1,X3,X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13641]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1476,plain,
% 11.93/12.08 ( ~ class_Orderings_Oorder(X0)
% 11.93/12.08 | ~ c_lessequals(X1,X2,X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7581_0) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13639,plain,
% 11.93/12.08 ( ~ class_Orderings_Oorder(X0)
% 11.93/12.08 | ~ c_lessequals(X1,X2,X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1476]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1473,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.93/12.08 | ~ c_lessequals(X0,X3,X2)
% 11.93/12.08 | ~ class_Orderings_Oorder(X2) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7581_3) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13633,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.93/12.08 | ~ c_lessequals(X0,X3,X2)
% 11.93/12.08 | ~ class_Orderings_Oorder(X2) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1473]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13634,plain,
% 11.93/12.08 ( ~ class_Orderings_Oorder(X0)
% 11.93/12.08 | ~ c_lessequals(X1,X2,X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13633]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1468,plain,
% 11.93/12.08 ( ~ class_Orderings_Opreorder(X0)
% 11.93/12.08 | ~ c_lessequals(X1,X2,X0)
% 11.93/12.08 | ~ c_lessequals(X3,X1,X0)
% 11.93/12.08 | c_lessequals(X3,X2,X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7583_0) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13623,plain,
% 11.93/12.08 ( ~ class_Orderings_Opreorder(X0)
% 11.93/12.08 | ~ c_lessequals(X1,X2,X0)
% 11.93/12.08 | ~ c_lessequals(X3,X1,X0)
% 11.93/12.08 | c_lessequals(X3,X2,X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1468]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1467,plain,
% 11.93/12.08 ( ~ class_Orderings_Opreorder(X0)
% 11.93/12.08 | ~ c_lessequals(X1,X2,X0)
% 11.93/12.08 | c_lessequals(X3,X2,X0)
% 11.93/12.08 | ~ c_lessequals(X3,X1,X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7583_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13621,plain,
% 11.93/12.08 ( ~ class_Orderings_Opreorder(X0)
% 11.93/12.08 | ~ c_lessequals(X1,X2,X0)
% 11.93/12.08 | c_lessequals(X3,X2,X0)
% 11.93/12.08 | ~ c_lessequals(X3,X1,X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1467]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1465,plain,
% 11.93/12.08 ( c_lessequals(X0,X1,X2)
% 11.93/12.08 | ~ c_lessequals(X0,X3,X2)
% 11.93/12.08 | ~ c_lessequals(X3,X1,X2)
% 11.93/12.08 | ~ class_Orderings_Opreorder(X2) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7583_3) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13617,plain,
% 11.93/12.08 ( c_lessequals(X0,X1,X2)
% 11.93/12.08 | ~ c_lessequals(X0,X3,X2)
% 11.93/12.08 | ~ c_lessequals(X3,X1,X2)
% 11.93/12.08 | ~ class_Orderings_Opreorder(X2) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1465]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13618,plain,
% 11.93/12.08 ( ~ class_Orderings_Opreorder(X0)
% 11.93/12.08 | c_lessequals(X1,X2,X0)
% 11.93/12.08 | ~ c_lessequals(X1,X3,X0)
% 11.93/12.08 | ~ c_lessequals(X3,X2,X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13617]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1464,plain,
% 11.93/12.08 ( ~ class_Orderings_Opreorder(X0)
% 11.93/12.08 | ~ c_lessequals(X1,X2,X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7584_0) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13615,plain,
% 11.93/12.08 ( ~ class_Orderings_Opreorder(X0)
% 11.93/12.08 | ~ c_lessequals(X1,X2,X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1464]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1461,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.93/12.08 | ~ c_lessequals(X3,X1,X2)
% 11.93/12.08 | ~ class_Orderings_Opreorder(X2) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7584_3) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13609,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.93/12.08 | ~ c_lessequals(X3,X1,X2)
% 11.93/12.08 | ~ class_Orderings_Opreorder(X2) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1461]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13610,plain,
% 11.93/12.08 ( ~ class_Orderings_Opreorder(X0)
% 11.93/12.08 | ~ c_lessequals(X1,X2,X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13609]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1456,plain,
% 11.93/12.08 ( ~ class_Orderings_Opreorder(X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7586_0) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13599,plain,
% 11.93/12.08 ( ~ class_Orderings_Opreorder(X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1456]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1455,plain,
% 11.93/12.08 ( ~ class_Orderings_Opreorder(X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7586_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13597,plain,
% 11.93/12.08 ( ~ class_Orderings_Opreorder(X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1455]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1453,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.93/12.08 | ~ class_Orderings_Opreorder(X2) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7586_3) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13593,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.93/12.08 | ~ class_Orderings_Opreorder(X2) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1453]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13594,plain,
% 11.93/12.08 ( ~ class_Orderings_Opreorder(X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13593]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1452,plain,
% 11.93/12.08 ( ~ class_Orderings_Oorder(X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7587_0) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13591,plain,
% 11.93/12.08 ( ~ class_Orderings_Oorder(X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1452]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1451,plain,
% 11.93/12.08 ( ~ class_Orderings_Oorder(X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7587_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13589,plain,
% 11.93/12.08 ( ~ class_Orderings_Oorder(X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1451]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1449,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.93/12.08 | ~ class_Orderings_Oorder(X2) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7587_3) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13585,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.93/12.08 | ~ class_Orderings_Oorder(X2) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1449]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13586,plain,
% 11.93/12.08 ( ~ class_Orderings_Oorder(X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13585]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1444,plain,
% 11.93/12.08 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X0,tc_nat) = X1
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7589_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13575,plain,
% 11.93/12.08 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X0,tc_nat) = X1
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1444]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13576,plain,
% 11.93/12.08 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.08 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X0,tc_nat) = X1 ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13575]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1442,plain,
% 11.93/12.08 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X1,tc_nat) = X0
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7590_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13571,plain,
% 11.93/12.08 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X1,tc_nat) = X0
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1442]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13572,plain,
% 11.93/12.08 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.08 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),X0,tc_nat) = X1 ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13571]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1439,plain,
% 11.93/12.08 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.08 | c_HOL_Oinverse__class_Odivide(X2,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Oinverse__class_Odivide(X2,X0,X1))
% 11.93/12.08 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7591_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13565,plain,
% 11.93/12.08 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.08 | c_HOL_Oinverse__class_Odivide(X2,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Oinverse__class_Odivide(X2,X0,X1))
% 11.93/12.08 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1439]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13566,plain,
% 11.93/12.08 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.93/12.08 | c_HOL_Oinverse__class_Odivide(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0))
% 11.93/12.08 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13565]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1436,plain,
% 11.93/12.08 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.08 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7592_2) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13559,plain,
% 11.93/12.08 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.08 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1436]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13560,plain,
% 11.93/12.08 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)
% 11.93/12.08 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.08 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13559]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1404,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7600_3) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13495,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.08 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1404]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1389,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 11.93/12.08 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 11.93/12.08 | ~ class_Int_Onumber(X1)
% 11.93/12.08 | ~ class_Orderings_Olinorder(X1) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7605_3) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13465,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 11.93/12.08 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 11.93/12.08 | ~ class_Int_Onumber(X1)
% 11.93/12.08 | ~ class_Orderings_Olinorder(X1) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1389]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13466,plain,
% 11.93/12.08 ( ~ class_Orderings_Olinorder(X0)
% 11.93/12.08 | ~ class_Int_Onumber(X0)
% 11.93/12.08 | c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 11.93/12.08 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 11.93/12.08 inference(rewriting,[status(thm)],[c_13465]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1387,plain,
% 11.93/12.08 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.08 | 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) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7606_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13461,plain,
% 11.93/12.08 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.08 | 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) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1387]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1381,plain,
% 11.93/12.08 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.93/12.08 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7609_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13449,plain,
% 11.93/12.08 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.93/12.08 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1381]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1379,plain,
% 11.93/12.08 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.93/12.08 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.93/12.08 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7610_1) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_13445,plain,
% 11.93/12.08 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.93/12.08 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.93/12.08 inference(copy,[status(esa)],[c_1379]) ).
% 11.93/12.08
% 11.93/12.08 cnf(c_1373,plain,
% 11.93/12.08 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7613_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13433,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1373]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1371,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7614_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13429,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1371]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1369,plain,
% 11.93/12.09 ( c_HOL_Oinverse__class_Odivide(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0))
% 11.93/12.09 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7615_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13425,plain,
% 11.93/12.09 ( c_HOL_Oinverse__class_Odivide(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0))
% 11.93/12.09 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1369]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13426,plain,
% 11.93/12.09 ( ~ class_RealVector_Oreal__normed__field(X0)
% 11.93/12.09 | c_HOL_Oinverse__class_Odivide(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13425]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1367,plain,
% 11.93/12.09 ( c_HOL_Oinverse__class_Odivide(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0))
% 11.93/12.09 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7616_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13421,plain,
% 11.93/12.09 ( c_HOL_Oinverse__class_Odivide(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0))
% 11.93/12.09 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1367]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13422,plain,
% 11.93/12.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.93/12.09 | c_HOL_Oinverse__class_Odivide(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X2,X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0)) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13421]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1365,plain,
% 11.93/12.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)
% 11.93/12.09 | ~ class_Ring__and__Field_Oidom(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7617_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13417,plain,
% 11.93/12.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)
% 11.93/12.09 | ~ class_Ring__and__Field_Oidom(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1365]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13418,plain,
% 11.93/12.09 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.93/12.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13417]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1363,plain,
% 11.93/12.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)
% 11.93/12.09 | ~ class_Ring__and__Field_Oring(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7618_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13413,plain,
% 11.93/12.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)
% 11.93/12.09 | ~ class_Ring__and__Field_Oring(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1363]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13414,plain,
% 11.93/12.09 ( ~ class_Ring__and__Field_Oring(X0)
% 11.93/12.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13413]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1361,plain,
% 11.93/12.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2))
% 11.93/12.09 | ~ class_Ring__and__Field_Oring(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7619_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13409,plain,
% 11.93/12.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2))
% 11.93/12.09 | ~ class_Ring__and__Field_Oring(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1361]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13410,plain,
% 11.93/12.09 ( ~ class_Ring__and__Field_Oring(X0)
% 11.93/12.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13409]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1358,plain,
% 11.93/12.09 ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 11.93/12.09 | ~ c_lessequals(X2,X1,X0)
% 11.93/12.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7622_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13403,plain,
% 11.93/12.09 ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 11.93/12.09 | ~ c_lessequals(X2,X1,X0)
% 11.93/12.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1358]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13404,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.09 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 11.93/12.09 | ~ c_lessequals(X2,X1,X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13403]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1355,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 11.93/12.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7623_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13397,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X2,X1,X0)
% 11.93/12.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1355]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13398,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.09 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13397]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1352,plain,
% 11.93/12.09 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 11.93/12.09 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7624_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13391,plain,
% 11.93/12.09 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)
% 11.93/12.09 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1352]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1349,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 11.93/12.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7625_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13385,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 11.93/12.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1349]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13386,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0)
% 11.93/12.09 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13385]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1346,plain,
% 11.93/12.09 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 11.93/12.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7626_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13379,plain,
% 11.93/12.09 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 11.93/12.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1346]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13380,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0)
% 11.93/12.09 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13379]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1343,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7627_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13373,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1343]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13374,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13373]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1340,plain,
% 11.93/12.09 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7628_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13367,plain,
% 11.93/12.09 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1340]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13368,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.09 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13367]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1338,plain,
% 11.93/12.09 ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 11.93/12.09 | ~ class_Divides_Osemiring__div(X2) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7629_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13363,plain,
% 11.93/12.09 ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 11.93/12.09 | ~ class_Divides_Osemiring__div(X2) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1338]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13364,plain,
% 11.93/12.09 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.09 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13363]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1337,plain,
% 11.93/12.09 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.93/12.09 | ~ c_lessequals(X2,X0,tc_nat)
% 11.93/12.09 | c_lessequals(X2,X1,tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7631_0) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13361,plain,
% 11.93/12.09 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.93/12.09 | ~ c_lessequals(X2,X0,tc_nat)
% 11.93/12.09 | c_lessequals(X2,X1,tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1337]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1336,plain,
% 11.93/12.09 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.93/12.09 | c_lessequals(X2,X1,tc_nat)
% 11.93/12.09 | ~ c_lessequals(X2,X0,tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7631_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13359,plain,
% 11.93/12.09 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.93/12.09 | c_lessequals(X2,X1,tc_nat)
% 11.93/12.09 | ~ c_lessequals(X2,X0,tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1336]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1335,plain,
% 11.93/12.09 ( c_lessequals(X0,X1,tc_nat)
% 11.93/12.09 | ~ c_lessequals(X0,X2,tc_nat)
% 11.93/12.09 | ~ c_lessequals(X2,X1,tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7631_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13357,plain,
% 11.93/12.09 ( c_lessequals(X0,X1,tc_nat)
% 11.93/12.09 | ~ c_lessequals(X0,X2,tc_nat)
% 11.93/12.09 | ~ c_lessequals(X2,X1,tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1335]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1333,plain,
% 11.93/12.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2))
% 11.93/12.09 | ~ class_Ring__and__Field_Oring(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7632_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13353,plain,
% 11.93/12.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2))
% 11.93/12.09 | ~ class_Ring__and__Field_Oring(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1333]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13354,plain,
% 11.93/12.09 ( ~ class_Ring__and__Field_Oring(X0)
% 11.93/12.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13353]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1329,plain,
% 11.93/12.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2))
% 11.93/12.09 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7634_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13345,plain,
% 11.93/12.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2))
% 11.93/12.09 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1329]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13346,plain,
% 11.93/12.09 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 11.93/12.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13345]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1325,plain,
% 11.93/12.09 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7635_3) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13337,plain,
% 11.93/12.09 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1325]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13338,plain,
% 11.93/12.09 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.09 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13337]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1323,plain,
% 11.93/12.09 ( 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)
% 11.93/12.09 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7636_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13333,plain,
% 11.93/12.09 ( 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)
% 11.93/12.09 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1323]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13334,plain,
% 11.93/12.09 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.09 | 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) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13333]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1321,plain,
% 11.93/12.09 ( 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)
% 11.93/12.09 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7637_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13329,plain,
% 11.93/12.09 ( 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)
% 11.93/12.09 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1321]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13330,plain,
% 11.93/12.09 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.09 | 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) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13329]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1318,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7638_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13323,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1318]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13324,plain,
% 11.93/12.09 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.09 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13323]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1315,plain,
% 11.93/12.09 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X1,X0)
% 11.93/12.09 | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7639_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13317,plain,
% 11.93/12.09 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X1,X0)
% 11.93/12.09 | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1315]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13318,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 11.93/12.09 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X1,X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13317]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1312,plain,
% 11.93/12.09 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.09 | ~ c_lessequals(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 11.93/12.09 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7640_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13311,plain,
% 11.93/12.09 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.09 | ~ c_lessequals(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 11.93/12.09 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1312]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13312,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 11.93/12.09 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13311]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1309,plain,
% 11.93/12.09 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X1,X0)
% 11.93/12.09 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7641_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13305,plain,
% 11.93/12.09 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X1,X0)
% 11.93/12.09 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1309]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13306,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 11.93/12.09 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X1,X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13305]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1306,plain,
% 11.93/12.09 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.09 | ~ c_lessequals(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 11.93/12.09 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7642_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13299,plain,
% 11.93/12.09 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.09 | ~ c_lessequals(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 11.93/12.09 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1306]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13300,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 11.93/12.09 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13299]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1304,plain,
% 11.93/12.09 ( 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)
% 11.93/12.09 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7643_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13295,plain,
% 11.93/12.09 ( 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)
% 11.93/12.09 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1304]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13296,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 11.93/12.09 | 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) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13295]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1302,plain,
% 11.93/12.09 ( 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)
% 11.93/12.09 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7644_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13291,plain,
% 11.93/12.09 ( 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)
% 11.93/12.09 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1302]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13292,plain,
% 11.93/12.09 ( ~ class_Int_Onumber__ring(X0)
% 11.93/12.09 | 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) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13291]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1298,plain,
% 11.93/12.09 ( hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7646_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13283,plain,
% 11.93/12.09 ( hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1298]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13284,plain,
% 11.93/12.09 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.09 | hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0 ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13283]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1290,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7648_3) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13267,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1290]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1282,plain,
% 11.93/12.09 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 11.93/12.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7650_3) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13251,plain,
% 11.93/12.09 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 11.93/12.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1282]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1278,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7651_3) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13243,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1278]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1274,plain,
% 11.93/12.09 ( c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7652_3) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13235,plain,
% 11.93/12.09 ( c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1274]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1270,plain,
% 11.93/12.09 ( c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Oone__class_Oone(X0),X0)
% 11.93/12.09 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7653_3) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13227,plain,
% 11.93/12.09 ( c_lessequals(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Oone__class_Oone(X0),X0)
% 11.93/12.09 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1270]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1264,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7655_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13215,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1264]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13216,plain,
% 11.93/12.09 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat)
% 11.93/12.09 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13215]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1262,plain,
% 11.93/12.09 ( c_lessequals(X0,X1,tc_nat)
% 11.93/12.09 | ~ c_lessequals(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7656_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13211,plain,
% 11.93/12.09 ( c_lessequals(X0,X1,tc_nat)
% 11.93/12.09 | ~ c_lessequals(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1262]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13212,plain,
% 11.93/12.09 ( ~ c_lessequals(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat)
% 11.93/12.09 | c_lessequals(X0,X1,tc_nat) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13211]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1259,plain,
% 11.93/12.09 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 11.93/12.09 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7657_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13205,plain,
% 11.93/12.09 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 11.93/12.09 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1259]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13206,plain,
% 11.93/12.09 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.09 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13205]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1257,plain,
% 11.93/12.09 ( 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)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7658_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13201,plain,
% 11.93/12.09 ( 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)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1257]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13202,plain,
% 11.93/12.09 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.93/12.09 | 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) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13201]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1252,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = X0 ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7661_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13191,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = X0 ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1252]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1250,plain,
% 11.93/12.09 ( ~ c_lessequals(hAPP(c_Suc,X0),X1,tc_nat)
% 11.93/12.09 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7662_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13187,plain,
% 11.93/12.09 ( ~ c_lessequals(hAPP(c_Suc,X0),X1,tc_nat)
% 11.93/12.09 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1250]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1248,plain,
% 11.93/12.09 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7663_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13183,plain,
% 11.93/12.09 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1248]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1246,plain,
% 11.93/12.09 ( ~ class_Orderings_Opreorder(X0)
% 11.93/12.09 | ~ c_lessequals(X1,X2,X0)
% 11.93/12.09 | c_lessequals(X2,X1,X0)
% 11.93/12.09 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7664_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13179,plain,
% 11.93/12.09 ( ~ class_Orderings_Opreorder(X0)
% 11.93/12.09 | ~ c_lessequals(X1,X2,X0)
% 11.93/12.09 | c_lessequals(X2,X1,X0)
% 11.93/12.09 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1246]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1241,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7665_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13169,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1241]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13170,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13169]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1238,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7666_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13163,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1238]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1235,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7667_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13157,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1),X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1235]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1232,plain,
% 11.93/12.09 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0)
% 11.93/12.09 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7668_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13151,plain,
% 11.93/12.09 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0)
% 11.93/12.09 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1232]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13152,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.09 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0)
% 11.93/12.09 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13151]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1229,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7669_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13145,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1229]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13146,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13145]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1226,plain,
% 11.93/12.09 ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7670_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13139,plain,
% 11.93/12.09 ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1226]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13140,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.93/12.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13139]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1224,plain,
% 11.93/12.09 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7671_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13135,plain,
% 11.93/12.09 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1224]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1212,plain,
% 11.93/12.09 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.09 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Oone__class_Oone(X1))),X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Oone__class_Oone(X1))
% 11.93/12.09 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7675_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13111,plain,
% 11.93/12.09 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.09 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Oone__class_Oone(X1))),X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Oone__class_Oone(X1))
% 11.93/12.09 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1212]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13112,plain,
% 11.93/12.09 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 11.93/12.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.09 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0))),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0)) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13111]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1205,plain,
% 11.93/12.09 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.09 | c_HOL_Oinverse__class_Odivide(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1) = c_HOL_Oinverse__class_Odivide(X2,X0,X1)
% 11.93/12.09 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7677_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13097,plain,
% 11.93/12.09 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.09 | c_HOL_Oinverse__class_Odivide(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1) = c_HOL_Oinverse__class_Odivide(X2,X0,X1)
% 11.93/12.09 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1205]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13098,plain,
% 11.93/12.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.93/12.09 | c_HOL_Oinverse__class_Odivide(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0)
% 11.93/12.09 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13097]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1202,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7678_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13091,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1202]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13092,plain,
% 11.93/12.09 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13091]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1199,plain,
% 11.93/12.09 ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X1,X0)
% 11.93/12.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7679_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13085,plain,
% 11.93/12.09 ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X1,X0)
% 11.93/12.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1199]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13086,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 11.93/12.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X1,X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13085]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1196,plain,
% 11.93/12.09 ( c_lessequals(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 11.93/12.09 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.09 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7680_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13079,plain,
% 11.93/12.09 ( c_lessequals(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 11.93/12.09 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.09 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1196]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13080,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 11.93/12.09 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13079]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1193,plain,
% 11.93/12.09 ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X1,X0)
% 11.93/12.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7681_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13073,plain,
% 11.93/12.09 ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X1,X0)
% 11.93/12.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1193]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13074,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 11.93/12.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.93/12.09 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X1,X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13073]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1190,plain,
% 11.93/12.09 ( c_lessequals(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 11.93/12.09 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.09 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7682_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13067,plain,
% 11.93/12.09 ( c_lessequals(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0),X1)
% 11.93/12.09 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.93/12.09 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1190]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13068,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 11.93/12.09 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.09 | c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1),X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13067]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1186,plain,
% 11.93/12.09 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2),X1)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7683_3) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13059,plain,
% 11.93/12.09 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2),X1)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1186]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13060,plain,
% 11.93/12.09 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0)
% 11.93/12.09 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13059]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1169,plain,
% 11.93/12.09 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7689_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13025,plain,
% 11.93/12.09 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1169]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13026,plain,
% 11.93/12.09 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.09 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13025]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1168,plain,
% 11.93/12.09 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7689_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13023,plain,
% 11.93/12.09 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1168]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13024,plain,
% 11.93/12.09 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 11.93/12.09 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13023]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1166,plain,
% 11.93/12.09 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7690_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13019,plain,
% 11.93/12.09 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1166]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13020,plain,
% 11.93/12.09 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13019]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1165,plain,
% 11.93/12.09 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7690_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13017,plain,
% 11.93/12.09 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1165]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13018,plain,
% 11.93/12.09 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 11.93/12.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13017]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1161,plain,
% 11.93/12.09 ( X0 = X1
% 11.93/12.09 | X0 = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
% 11.93/12.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X1)
% 11.93/12.09 | ~ class_Ring__and__Field_Oidom(X2) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7691_3) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13009,plain,
% 11.93/12.09 ( X0 = X1
% 11.93/12.09 | X0 = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
% 11.93/12.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X1)
% 11.93/12.09 | ~ class_Ring__and__Field_Oidom(X2) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1161]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_13010,plain,
% 11.93/12.09 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.93/12.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)
% 11.93/12.09 | X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)
% 11.93/12.09 | X1 = X2 ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_13009]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1151,plain,
% 11.93/12.09 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7696_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12989,plain,
% 11.93/12.09 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1151]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12990,plain,
% 11.93/12.09 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.09 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12989]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1149,plain,
% 11.93/12.09 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)) = c_HOL_Ominus__class_Ominus(X2,X1,X0)
% 11.93/12.09 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7697_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12985,plain,
% 11.93/12.09 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)) = c_HOL_Ominus__class_Ominus(X2,X1,X0)
% 11.93/12.09 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1149]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12986,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 11.93/12.09 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)) = c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12985]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1148,plain,
% 11.93/12.09 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.93/12.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.09 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7698_0) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12983,plain,
% 11.93/12.09 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.93/12.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.09 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1148]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1146,plain,
% 11.93/12.09 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7698_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12979,plain,
% 11.93/12.09 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1146]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12980,plain,
% 11.93/12.09 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.93/12.09 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.09 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12979]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1143,plain,
% 11.93/12.09 ( c_lessequals(X0,X1,tc_nat)
% 11.93/12.09 | X0 = hAPP(c_Suc,X1)
% 11.93/12.09 | ~ c_lessequals(X0,hAPP(c_Suc,X1),tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7699_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12973,plain,
% 11.93/12.09 ( c_lessequals(X0,X1,tc_nat)
% 11.93/12.09 | X0 = hAPP(c_Suc,X1)
% 11.93/12.09 | ~ c_lessequals(X0,hAPP(c_Suc,X1),tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1143]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12974,plain,
% 11.93/12.09 ( ~ c_lessequals(X0,hAPP(c_Suc,X1),tc_nat)
% 11.93/12.09 | c_lessequals(X0,X1,tc_nat)
% 11.93/12.09 | X0 = hAPP(c_Suc,X1) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12973]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1140,plain,
% 11.93/12.09 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0))),X1) = c_HOL_Oone__class_Oone(X0)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.09 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7701_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12967,plain,
% 11.93/12.09 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0))),X1) = c_HOL_Oone__class_Oone(X0)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.09 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1140]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12968,plain,
% 11.93/12.09 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.09 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0))),X1) = c_HOL_Oone__class_Oone(X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12967]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1136,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7703_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12959,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1136]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1134,plain,
% 11.93/12.09 ( c_lessequals(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat)
% 11.93/12.09 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7704_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12955,plain,
% 11.93/12.09 ( c_lessequals(hAPP(c_Suc,X0),hAPP(c_Suc,X1),tc_nat)
% 11.93/12.09 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1134]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1132,plain,
% 11.93/12.09 ( c_lessequals(c_Fact_Ofact__class_Ofact(X0,tc_nat),c_Fact_Ofact__class_Ofact(X1,tc_nat),tc_nat)
% 11.93/12.09 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7705_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12951,plain,
% 11.93/12.09 ( c_lessequals(c_Fact_Ofact__class_Ofact(X0,tc_nat),c_Fact_Ofact__class_Ofact(X1,tc_nat),tc_nat)
% 11.93/12.09 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1132]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1116,plain,
% 11.93/12.09 ( X0 = X1
% 11.93/12.09 | ~ c_lessequals(X0,X1,X2)
% 11.93/12.09 | ~ c_lessequals(X1,X0,X2)
% 11.93/12.09 | ~ class_Orderings_Oorder(X2) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7709_3) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12919,plain,
% 11.93/12.09 ( X0 = X1
% 11.93/12.09 | ~ c_lessequals(X0,X1,X2)
% 11.93/12.09 | ~ c_lessequals(X1,X0,X2)
% 11.93/12.09 | ~ class_Orderings_Oorder(X2) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1116]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12920,plain,
% 11.93/12.09 ( ~ class_Orderings_Oorder(X0)
% 11.93/12.09 | ~ c_lessequals(X1,X2,X0)
% 11.93/12.09 | ~ c_lessequals(X2,X1,X0)
% 11.93/12.09 | X1 = X2 ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12919]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1126,plain,
% 11.93/12.09 ( ~ class_RealVector_Ometric__space(X0)
% 11.93/12.09 | ~ c_SEQ_OLIMSEQ(X1,X2,X0)
% 11.93/12.09 | X3 = X2
% 11.93/12.09 | ~ c_SEQ_OLIMSEQ(X1,X3,X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7707_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12939,plain,
% 11.93/12.09 ( ~ class_RealVector_Ometric__space(X0)
% 11.93/12.09 | ~ c_SEQ_OLIMSEQ(X1,X2,X0)
% 11.93/12.09 | X3 = X2
% 11.93/12.09 | ~ c_SEQ_OLIMSEQ(X1,X3,X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1126]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12940,plain,
% 11.93/12.09 ( ~ class_RealVector_Ometric__space(X0)
% 11.93/12.09 | ~ c_SEQ_OLIMSEQ(X1,X2,X0)
% 11.93/12.09 | ~ c_SEQ_OLIMSEQ(X1,X3,X0)
% 11.93/12.09 | X3 = X2 ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12939]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1118,plain,
% 11.93/12.09 ( ~ class_Orderings_Oorder(X0)
% 11.93/12.09 | ~ c_lessequals(X1,X2,X0)
% 11.93/12.09 | X2 = X1
% 11.93/12.09 | ~ c_lessequals(X2,X1,X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7709_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12923,plain,
% 11.93/12.09 ( ~ class_Orderings_Oorder(X0)
% 11.93/12.09 | ~ c_lessequals(X1,X2,X0)
% 11.93/12.09 | X2 = X1
% 11.93/12.09 | ~ c_lessequals(X2,X1,X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1118]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12924,plain,
% 11.93/12.09 ( ~ class_Orderings_Oorder(X0)
% 11.93/12.09 | ~ c_lessequals(X1,X2,X0)
% 11.93/12.09 | ~ c_lessequals(X2,X1,X0)
% 11.93/12.09 | X2 = X1 ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12923]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1114,plain,
% 11.93/12.09 ( c_Fact_Ofact__class_Ofact(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 11.93/12.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7710_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12915,plain,
% 11.93/12.09 ( c_Fact_Ofact__class_Ofact(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 11.93/12.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1114]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1110,plain,
% 11.93/12.09 ( X0 = X1
% 11.93/12.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 11.93/12.09 | ~ class_Int_Onumber__ring(X2)
% 11.93/12.09 | ~ class_Ring__and__Field_Oidom(X2) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7711_3) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12907,plain,
% 11.93/12.09 ( X0 = X1
% 11.93/12.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 11.93/12.09 | ~ class_Int_Onumber__ring(X2)
% 11.93/12.09 | ~ class_Ring__and__Field_Oidom(X2) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1110]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12908,plain,
% 11.93/12.09 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.93/12.09 | ~ class_Int_Onumber__ring(X0)
% 11.93/12.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 11.93/12.09 | X2 = X3 ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12907]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1107,plain,
% 11.93/12.09 ( X0 = X1
% 11.93/12.09 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 11.93/12.09 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7712_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12901,plain,
% 11.93/12.09 ( X0 = X1
% 11.93/12.09 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 11.93/12.09 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1107]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12902,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 11.93/12.09 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 11.93/12.09 | X1 = X2 ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12901]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1104,plain,
% 11.93/12.09 ( X0 = X1
% 11.93/12.09 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 11.93/12.09 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7713_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12895,plain,
% 11.93/12.09 ( X0 = X1
% 11.93/12.09 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 11.93/12.09 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1104]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12896,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 11.93/12.09 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 11.93/12.09 | X2 = X3 ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12895]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1102,plain,
% 11.93/12.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0))),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)
% 11.93/12.09 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7714_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12891,plain,
% 11.93/12.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0))),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)
% 11.93/12.09 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1102]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12892,plain,
% 11.93/12.09 ( ~ class_Int_Onumber__ring(X0)
% 11.93/12.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0))),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12891]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1099,plain,
% 11.93/12.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.93/12.09 | ~ class_Orderings_Oorder(X2) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7716_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12885,plain,
% 11.93/12.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.93/12.09 | ~ class_Orderings_Oorder(X2) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1099]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12886,plain,
% 11.93/12.09 ( ~ class_Orderings_Oorder(X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12885]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1096,plain,
% 11.93/12.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.93/12.09 | ~ class_Orderings_Olinorder(X2) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7717_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12879,plain,
% 11.93/12.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.93/12.09 | ~ class_Orderings_Olinorder(X2) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1096]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12880,plain,
% 11.93/12.09 ( ~ class_Orderings_Olinorder(X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12879]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1090,plain,
% 11.93/12.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.93/12.09 | ~ class_Orderings_Opreorder(X2) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7719_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12867,plain,
% 11.93/12.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.93/12.09 | ~ class_Orderings_Opreorder(X2) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1090]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12868,plain,
% 11.93/12.09 ( ~ class_Orderings_Opreorder(X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12867]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1084,plain,
% 11.93/12.09 ( ~ c_lessequals(X0,X1,X2)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.93/12.09 | ~ class_Orderings_Olinorder(X2) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7721_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12855,plain,
% 11.93/12.09 ( ~ c_lessequals(X0,X1,X2)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.93/12.09 | ~ class_Orderings_Olinorder(X2) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1084]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12856,plain,
% 11.93/12.09 ( ~ class_Orderings_Olinorder(X0)
% 11.93/12.09 | ~ c_lessequals(X1,X2,X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12855]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1081,plain,
% 11.93/12.09 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 11.93/12.09 | ~ c_lessequals(X0,X0,X1)
% 11.93/12.09 | ~ class_Orderings_Olinorder(X1) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7722_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12849,plain,
% 11.93/12.09 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 11.93/12.09 | ~ c_lessequals(X0,X0,X1)
% 11.93/12.09 | ~ class_Orderings_Olinorder(X1) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1081]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12850,plain,
% 11.93/12.09 ( ~ class_Orderings_Olinorder(X0)
% 11.93/12.09 | ~ c_lessequals(X1,X1,X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12849]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1078,plain,
% 11.93/12.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.09 | ~ c_lessequals(X1,X0,X2)
% 11.93/12.09 | ~ class_Orderings_Opreorder(X2) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7723_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12843,plain,
% 11.93/12.09 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.09 | ~ c_lessequals(X1,X0,X2)
% 11.93/12.09 | ~ class_Orderings_Opreorder(X2) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1078]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12844,plain,
% 11.93/12.09 ( ~ class_Orderings_Opreorder(X0)
% 11.93/12.09 | ~ c_lessequals(X1,X2,X0)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12843]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1075,plain,
% 11.93/12.09 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.09 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.09 | ~ 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) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7724_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12837,plain,
% 11.93/12.09 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.09 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.09 | ~ 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) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1075]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12838,plain,
% 11.93/12.09 ( ~ 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)
% 11.93/12.09 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.09 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12837]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1059,plain,
% 11.93/12.09 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.09 | X1 = X0
% 11.93/12.09 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7728_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12805,plain,
% 11.93/12.09 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.09 | X1 = X0
% 11.93/12.09 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1059]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12806,plain,
% 11.93/12.09 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.09 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.09 | X1 = X0 ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12805]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1056,plain,
% 11.93/12.09 ( 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)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7729_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12799,plain,
% 11.93/12.09 ( 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)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1056]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12800,plain,
% 11.93/12.09 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.09 | 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) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12799]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1054,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7730_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12795,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1054]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12796,plain,
% 11.93/12.09 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.93/12.09 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0)),X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12795]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1051,plain,
% 11.93/12.09 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.09 | 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)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7732_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12789,plain,
% 11.93/12.09 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.09 | 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)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1051]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12790,plain,
% 11.93/12.09 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.09 | 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)
% 11.93/12.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12789]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1045,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.09 | X1 = X0
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7734_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12777,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.09 | X1 = X0
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1045]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12778,plain,
% 11.93/12.09 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 11.93/12.09 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.09 | X1 = X0 ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12777]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1042,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.09 | X0 = X1
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7735_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12771,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.09 | X0 = X1
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1042]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12772,plain,
% 11.93/12.09 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 11.93/12.09 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.09 | X0 = X1 ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12771]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1036,plain,
% 11.93/12.09 ( X0 = X1
% 11.93/12.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 11.93/12.09 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7737_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12759,plain,
% 11.93/12.09 ( X0 = X1
% 11.93/12.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 11.93/12.09 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1036]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12760,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 11.93/12.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 11.93/12.09 | X1 = X3 ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12759]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1033,plain,
% 11.93/12.09 ( X0 = X1
% 11.93/12.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 11.93/12.09 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7738_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12753,plain,
% 11.93/12.09 ( X0 = X1
% 11.93/12.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 11.93/12.09 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1033]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12754,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 11.93/12.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 11.93/12.09 | X2 = X3 ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12753]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1030,plain,
% 11.93/12.09 ( X0 = X1
% 11.93/12.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 11.93/12.09 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7739_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12747,plain,
% 11.93/12.09 ( X0 = X1
% 11.93/12.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 11.93/12.09 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1030]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12748,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 11.93/12.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 11.93/12.09 | X2 = X3 ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12747]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1028,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7740_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12743,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1028]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12744,plain,
% 11.93/12.09 ( ~ c_HOL_Oord__class_Oless(hAPP(c_Suc,X0),X1,tc_nat)
% 11.93/12.09 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12743]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1026,plain,
% 11.93/12.09 ( c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(hAPP(c_Suc,X0),X1,tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7741_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12739,plain,
% 11.93/12.09 ( c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(hAPP(c_Suc,X0),X1,tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1026]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12740,plain,
% 11.93/12.09 ( ~ c_lessequals(hAPP(c_Suc,X0),X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12739]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1024,plain,
% 11.93/12.09 ( c_lessequals(X0,X1,tc_nat)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7742_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12735,plain,
% 11.93/12.09 ( c_lessequals(X0,X1,tc_nat)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1024]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1020,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.09 | ~ c_lessequals(hAPP(c_Suc,X0),X1,tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7744_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12727,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.09 | ~ c_lessequals(hAPP(c_Suc,X0),X1,tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1020]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12728,plain,
% 11.93/12.09 ( ~ c_lessequals(hAPP(c_Suc,X0),X1,tc_nat)
% 11.93/12.09 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12727]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1018,plain,
% 11.93/12.09 ( c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 11.93/12.09 | ~ class_Divides_Osemiring__div(X2) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7745_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12723,plain,
% 11.93/12.09 ( c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 11.93/12.09 | ~ class_Divides_Osemiring__div(X2) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1018]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12724,plain,
% 11.93/12.09 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.09 | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12723]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1016,plain,
% 11.93/12.09 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7747_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12719,plain,
% 11.93/12.09 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1016]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12720,plain,
% 11.93/12.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.93/12.09 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12719]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1013,plain,
% 11.93/12.09 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.09 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),X0,X1) = X2
% 11.93/12.09 | ~ class_Divides_Osemiring__div(X1) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7748_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12713,plain,
% 11.93/12.09 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.09 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),X0,X1) = X2
% 11.93/12.09 | ~ class_Divides_Osemiring__div(X1) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1013]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12714,plain,
% 11.93/12.09 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.09 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0) = X2
% 11.93/12.09 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12713]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1010,plain,
% 11.93/12.09 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.09 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),X0,X1) = X2
% 11.93/12.09 | ~ class_Divides_Osemiring__div(X1) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7749_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12707,plain,
% 11.93/12.09 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.09 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),X0,X1) = X2
% 11.93/12.09 | ~ class_Divides_Osemiring__div(X1) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1010]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12708,plain,
% 11.93/12.09 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.09 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = X1
% 11.93/12.09 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12707]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1004,plain,
% 11.93/12.09 ( c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = X1
% 11.93/12.09 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7751_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12695,plain,
% 11.93/12.09 ( c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = X1
% 11.93/12.09 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1004]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12696,plain,
% 11.93/12.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.93/12.09 | c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = X1
% 11.93/12.09 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12695]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_1002,plain,
% 11.93/12.09 ( ~ c_lessequals(X0,X1,tc_nat) | X1 = X0 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7752_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12691,plain,
% 11.93/12.09 ( ~ c_lessequals(X0,X1,tc_nat) | X1 = X0 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_1002]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12692,plain,
% 11.93/12.09 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X1 = X0 ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12691]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_999,plain,
% 11.93/12.09 ( 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
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7753_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12685,plain,
% 11.93/12.09 ( 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
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_999]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12686,plain,
% 11.93/12.09 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.09 | 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 ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12685]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_997,plain,
% 11.93/12.09 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.09 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7754_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12681,plain,
% 11.93/12.09 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.09 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_997]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12682,plain,
% 11.93/12.09 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.09 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12681]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_995,plain,
% 11.93/12.09 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.09 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7755_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12677,plain,
% 11.93/12.09 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.09 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_995]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12678,plain,
% 11.93/12.09 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.09 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12677]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_993,plain,
% 11.93/12.09 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1
% 11.93/12.09 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7756_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12673,plain,
% 11.93/12.09 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1
% 11.93/12.09 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_993]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12674,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.93/12.09 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1 ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12673]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_991,plain,
% 11.93/12.09 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.09 | 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)) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7757_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12669,plain,
% 11.93/12.09 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.09 | 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)) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_991]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_989,plain,
% 11.93/12.09 ( 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)
% 11.93/12.09 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7758_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12665,plain,
% 11.93/12.09 ( 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)
% 11.93/12.09 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_989]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12666,plain,
% 11.93/12.09 ( ~ class_Int_Onumber__ring(X0)
% 11.93/12.09 | 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) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12665]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_987,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7760_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12661,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_987]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_985,plain,
% 11.93/12.09 ( c_lessequals(X0,hAPP(c_Suc,X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7761_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12657,plain,
% 11.93/12.09 ( c_lessequals(X0,hAPP(c_Suc,X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_985]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_981,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 11.93/12.09 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7763_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12649,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 11.93/12.09 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_981]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12650,plain,
% 11.93/12.09 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.93/12.09 | c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12649]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_977,plain,
% 11.93/12.09 ( c_lessequals(hAPP(c_Suc,X0),X1,tc_nat)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7765_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12641,plain,
% 11.93/12.09 ( c_lessequals(hAPP(c_Suc,X0),X1,tc_nat)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_977]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_972,plain,
% 11.93/12.09 ( 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)
% 11.93/12.09 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7767_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12631,plain,
% 11.93/12.09 ( 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)
% 11.93/12.09 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_972]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12632,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 11.93/12.09 | 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) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12631]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_970,plain,
% 11.93/12.09 ( 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))
% 11.93/12.09 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7768_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12627,plain,
% 11.93/12.09 ( 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))
% 11.93/12.09 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_970]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12628,plain,
% 11.93/12.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.09 | 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)) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12627]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_961,plain,
% 11.93/12.09 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7770_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12609,plain,
% 11.93/12.09 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_961]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_949,plain,
% 11.93/12.09 ( 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)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7776_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12585,plain,
% 11.93/12.09 ( 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)
% 11.93/12.09 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_949]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12586,plain,
% 11.93/12.09 ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.09 | 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) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12585]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_947,plain,
% 11.93/12.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = c_HOL_Oinverse__class_Odivide(X1,X2,X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7777_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12581,plain,
% 11.93/12.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = c_HOL_Oinverse__class_Odivide(X1,X2,X0)
% 11.93/12.09 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_947]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12582,plain,
% 11.93/12.09 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.93/12.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12581]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_945,plain,
% 11.93/12.09 ( c_HOL_Ominus__class_Ominus(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2)
% 11.93/12.09 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7778_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12577,plain,
% 11.93/12.09 ( c_HOL_Ominus__class_Ominus(X0,hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2)
% 11.93/12.09 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_945]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12578,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.93/12.09 | c_HOL_Ominus__class_Ominus(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12577]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_941,plain,
% 11.93/12.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = c_HOL_Ominus__class_Ominus(X1,X2,X0)
% 11.93/12.09 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7780_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12569,plain,
% 11.93/12.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = c_HOL_Ominus__class_Ominus(X1,X2,X0)
% 11.93/12.09 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_941]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12570,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.93/12.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12569]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_939,plain,
% 11.93/12.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = c_HOL_Ominus__class_Ominus(X1,X2,X0)
% 11.93/12.09 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7781_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12565,plain,
% 11.93/12.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = c_HOL_Ominus__class_Ominus(X1,X2,X0)
% 11.93/12.09 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_939]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12566,plain,
% 11.93/12.09 ( ~ class_Int_Onumber__ring(X0)
% 11.93/12.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12565]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_937,plain,
% 11.93/12.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = c_HOL_Ominus__class_Ominus(X1,X2,X0)
% 11.93/12.09 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7782_1) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12561,plain,
% 11.93/12.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = c_HOL_Ominus__class_Ominus(X1,X2,X0)
% 11.93/12.09 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_937]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12562,plain,
% 11.93/12.09 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 11.93/12.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12561]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_934,plain,
% 11.93/12.09 ( X0 = X1
% 11.93/12.09 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7784_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12555,plain,
% 11.93/12.09 ( X0 = X1
% 11.93/12.09 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_934]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12556,plain,
% 11.93/12.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)
% 11.93/12.09 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.09 | X0 = X2 ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12555]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_928,plain,
% 11.93/12.09 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.09 | X1 = X2
% 11.93/12.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7786_2) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12543,plain,
% 11.93/12.09 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.09 | X1 = X2
% 11.93/12.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_928]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12544,plain,
% 11.93/12.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)
% 11.93/12.09 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.09 | X1 = X2 ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12543]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_920,plain,
% 11.93/12.09 ( X0 = X1
% 11.93/12.09 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.93/12.09 | ~ c_lessequals(X1,X0,X2)
% 11.93/12.09 | ~ class_Orderings_Oorder(X2) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7788_3) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12527,plain,
% 11.93/12.09 ( X0 = X1
% 11.93/12.09 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.93/12.09 | ~ c_lessequals(X1,X0,X2)
% 11.93/12.09 | ~ class_Orderings_Oorder(X2) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_920]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12528,plain,
% 11.93/12.09 ( ~ class_Orderings_Oorder(X0)
% 11.93/12.09 | ~ c_lessequals(X1,X2,X0)
% 11.93/12.09 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.93/12.09 | X2 = X1 ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12527]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_912,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.09 | X0 = X1
% 11.93/12.09 | ~ c_lessequals(X0,X1,X2)
% 11.93/12.09 | ~ class_Orderings_Olinorder(X2) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7790_3) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12511,plain,
% 11.93/12.09 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.09 | X0 = X1
% 11.93/12.09 | ~ c_lessequals(X0,X1,X2)
% 11.93/12.09 | ~ class_Orderings_Olinorder(X2) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_912]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12512,plain,
% 11.93/12.09 ( ~ class_Orderings_Olinorder(X0)
% 11.93/12.09 | ~ c_lessequals(X1,X2,X0)
% 11.93/12.09 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.93/12.09 | X1 = X2 ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12511]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_896,plain,
% 11.93/12.09 ( X0 = X1
% 11.93/12.09 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.09 | ~ c_lessequals(X0,X1,X2)
% 11.93/12.09 | ~ class_Orderings_Oorder(X2) ),
% 11.93/12.09 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7794_3) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12479,plain,
% 11.93/12.09 ( X0 = X1
% 11.93/12.09 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.09 | ~ c_lessequals(X0,X1,X2)
% 11.93/12.09 | ~ class_Orderings_Oorder(X2) ),
% 11.93/12.09 inference(copy,[status(esa)],[c_896]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_12480,plain,
% 11.93/12.09 ( ~ class_Orderings_Oorder(X0)
% 11.93/12.09 | ~ c_lessequals(X1,X2,X0)
% 11.93/12.09 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.93/12.09 | X1 = X2 ),
% 11.93/12.09 inference(rewriting,[status(thm)],[c_12479]) ).
% 11.93/12.09
% 11.93/12.09 cnf(c_893,plain,
% 11.93/12.09 ( c_lessequals(X0,X1,X2)
% 11.93/12.09 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.10 | ~ class_Orderings_Opreorder(X2) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7797_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12473,plain,
% 11.93/12.10 ( c_lessequals(X0,X1,X2)
% 11.93/12.10 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.10 | ~ class_Orderings_Opreorder(X2) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_893]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12474,plain,
% 11.93/12.10 ( ~ class_Orderings_Opreorder(X0)
% 11.93/12.10 | c_lessequals(X1,X2,X0)
% 11.93/12.10 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12473]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_890,plain,
% 11.93/12.10 ( c_lessequals(X0,X1,X2)
% 11.93/12.10 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.10 | ~ class_Orderings_Oorder(X2) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7798_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12467,plain,
% 11.93/12.10 ( c_lessequals(X0,X1,X2)
% 11.93/12.10 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.10 | ~ class_Orderings_Oorder(X2) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_890]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12468,plain,
% 11.93/12.10 ( ~ class_Orderings_Oorder(X0)
% 11.93/12.10 | c_lessequals(X1,X2,X0)
% 11.93/12.10 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12467]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_886,plain,
% 11.93/12.10 ( X0 = X1
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7800_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12459,plain,
% 11.93/12.10 ( X0 = X1
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_886]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12460,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 11.93/12.10 | X1 = X2 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12459]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_884,plain,
% 11.93/12.10 ( X0 = X1
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7801_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12455,plain,
% 11.93/12.10 ( X0 = X1
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_884]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12456,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 11.93/12.10 | X0 = X2 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12455]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_878,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0)),X0) = c_HOL_Oone__class_Oone(X1)
% 11.93/12.10 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7805_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12443,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0)),X0) = c_HOL_Oone__class_Oone(X1)
% 11.93/12.10 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_878]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12444,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),X1) = c_HOL_Oone__class_Oone(X0)
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12443]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_875,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0)),X0) = c_HOL_Oone__class_Oone(X1)
% 11.93/12.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7806_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12437,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0)),X0) = c_HOL_Oone__class_Oone(X1)
% 11.93/12.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_875]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12438,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)),X1) = c_HOL_Oone__class_Oone(X0)
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12437]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_866,plain,
% 11.93/12.10 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 11.93/12.10 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.10 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7811_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12419,plain,
% 11.93/12.10 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 11.93/12.10 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.10 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_866]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_865,plain,
% 11.93/12.10 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 11.93/12.10 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.10 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7817_0) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12417,plain,
% 11.93/12.10 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 11.93/12.10 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.10 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_865]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_863,plain,
% 11.93/12.10 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.10 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.10 | c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7817_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12413,plain,
% 11.93/12.10 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.10 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.10 | c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_863]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12414,plain,
% 11.93/12.10 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 11.93/12.10 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.10 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12413]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_861,plain,
% 11.93/12.10 ( c_lessequals(X0,X1,tc_nat)
% 11.93/12.10 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7818_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12409,plain,
% 11.93/12.10 ( c_lessequals(X0,X1,tc_nat)
% 11.93/12.10 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_861]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_857,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7820_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12401,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_857]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12402,plain,
% 11.93/12.10 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12401]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_855,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7821_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12397,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_855]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12398,plain,
% 11.93/12.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12397]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_853,plain,
% 11.93/12.10 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7823_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12393,plain,
% 11.93/12.10 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_853]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12394,plain,
% 11.93/12.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.93/12.10 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12393]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_851,plain,
% 11.93/12.10 ( c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7824_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12389,plain,
% 11.93/12.10 ( c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_851]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12390,plain,
% 11.93/12.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.10 | c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12389]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_842,plain,
% 11.93/12.10 ( X0 = X1
% 11.93/12.10 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.10 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7827_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12371,plain,
% 11.93/12.10 ( X0 = X1
% 11.93/12.10 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.10 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_842]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12372,plain,
% 11.93/12.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.93/12.10 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.10 | X0 = X1 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12371]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_840,plain,
% 11.93/12.10 ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0
% 11.93/12.10 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7828_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12367,plain,
% 11.93/12.10 ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0
% 11.93/12.10 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_840]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12368,plain,
% 11.93/12.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.10 | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12367]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_836,plain,
% 11.93/12.10 ( c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 11.93/12.10 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X0),X1),X1)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X1)
% 11.93/12.10 | ~ class_Int_Oring__char__0(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7829_3) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12359,plain,
% 11.93/12.10 ( c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 11.93/12.10 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X0),X1),X1)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X1)
% 11.93/12.10 | ~ class_Int_Oring__char__0(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_836]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12360,plain,
% 11.93/12.10 ( ~ class_Int_Oring__char__0(X0)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X0)
% 11.93/12.10 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X0),X0)
% 11.93/12.10 | c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12359]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_832,plain,
% 11.93/12.10 ( c_lessequals(X0,X1,tc_nat) | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7831_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12351,plain,
% 11.93/12.10 ( c_lessequals(X0,X1,tc_nat) | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_832]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_814,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7835_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12315,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_814]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12316,plain,
% 11.93/12.10 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 11.93/12.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12315]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_808,plain,
% 11.93/12.10 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.10 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Int_Onumber__class_Onumber__of(c_Int_OMin,X1)),X0) = c_Int_Onumber__class_Onumber__of(c_Int_OMin,X1)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7837_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12303,plain,
% 11.93/12.10 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.10 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Int_Onumber__class_Onumber__of(c_Int_OMin,X1)),X0) = c_Int_Onumber__class_Onumber__of(c_Int_OMin,X1)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_808]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12304,plain,
% 11.93/12.10 ( ~ class_Int_Onumber__ring(X0)
% 11.93/12.10 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.10 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0)),X1) = c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12303]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_804,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.10 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.10 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7839_0) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12295,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.10 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.10 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_804]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_802,plain,
% 11.93/12.10 ( X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.10 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7839_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12291,plain,
% 11.93/12.10 ( X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.10 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_802]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12292,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.10 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.10 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12291]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_798,plain,
% 11.93/12.10 ( c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X0),X1),X1)
% 11.93/12.10 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X1)
% 11.93/12.10 | ~ class_Int_Oring__char__0(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7840_3) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12283,plain,
% 11.93/12.10 ( c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X0),X1),X1)
% 11.93/12.10 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X1)
% 11.93/12.10 | ~ class_Int_Oring__char__0(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_798]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12284,plain,
% 11.93/12.10 ( ~ class_Int_Oring__char__0(X0)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X0)
% 11.93/12.10 | c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X0),X0)
% 11.93/12.10 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12283]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_794,plain,
% 11.93/12.10 ( 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)
% 11.93/12.10 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | ~ class_Power_Opower(X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7841_3) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12275,plain,
% 11.93/12.10 ( 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)
% 11.93/12.10 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | ~ class_Power_Opower(X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_794]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12276,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 11.93/12.10 | ~ class_Power_Opower(X0)
% 11.93/12.10 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | 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) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12275]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_791,plain,
% 11.93/12.10 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0)),X1) = c_HOL_Oone__class_Oone(X0)
% 11.93/12.10 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7842_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12269,plain,
% 11.93/12.10 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0)),X1) = c_HOL_Oone__class_Oone(X0)
% 11.93/12.10 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_791]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12270,plain,
% 11.93/12.10 ( ~ class_Int_Onumber__ring(X0)
% 11.93/12.10 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.10 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0)),X1) = c_HOL_Oone__class_Oone(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12269]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_789,plain,
% 11.93/12.10 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(hAPP(c_Suc,X1),X0,tc_nat) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7843_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12265,plain,
% 11.93/12.10 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(hAPP(c_Suc,X1),X0,tc_nat) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_789]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12266,plain,
% 11.93/12.10 ( c_lessequals(hAPP(c_Suc,X0),X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12265]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_785,plain,
% 11.93/12.10 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.10 | c_HOL_Oord__class_Oless(X1,hAPP(c_Suc,X0),tc_nat) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7845_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12257,plain,
% 11.93/12.10 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.10 | c_HOL_Oord__class_Oless(X1,hAPP(c_Suc,X0),tc_nat) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_785]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12258,plain,
% 11.93/12.10 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
% 11.93/12.10 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12257]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_782,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | hAPP(c_HOL_Oinverse__class_Oinverse(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0))
% 11.93/12.10 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7846_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12251,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | hAPP(c_HOL_Oinverse__class_Oinverse(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0))
% 11.93/12.10 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_782]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12252,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.93/12.10 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1))
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12251]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_775,plain,
% 11.93/12.10 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 11.93/12.10 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.10 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7850_0) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12237,plain,
% 11.93/12.10 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 11.93/12.10 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.10 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_775]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_773,plain,
% 11.93/12.10 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.10 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.10 | c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7850_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12233,plain,
% 11.93/12.10 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.10 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 11.93/12.10 | c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_773]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12234,plain,
% 11.93/12.10 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 11.93/12.10 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.10 | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12233]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_771,plain,
% 11.93/12.10 ( hAPP(hAPP(X0,X1),X2) = X2 | ~ c_OrderedGroup_Omonoid__mult(X1,X0,X3) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7851_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12229,plain,
% 11.93/12.10 ( hAPP(hAPP(X0,X1),X2) = X2 | ~ c_OrderedGroup_Omonoid__mult(X1,X0,X3) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_771]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12230,plain,
% 11.93/12.10 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) | hAPP(hAPP(X1,X0),X3) = X3 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12229]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_769,plain,
% 11.93/12.10 ( hAPP(hAPP(X0,X1),X2) = X1 | ~ c_OrderedGroup_Omonoid__mult(X2,X0,X3) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7852_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12225,plain,
% 11.93/12.10 ( hAPP(hAPP(X0,X1),X2) = X1 | ~ c_OrderedGroup_Omonoid__mult(X2,X0,X3) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_769]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12226,plain,
% 11.93/12.10 ( ~ c_OrderedGroup_Omonoid__mult(X0,X1,X2) | hAPP(hAPP(X1,X3),X0) = X3 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12225]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_767,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0)),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7854_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12221,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0)),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_767]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12222,plain,
% 11.93/12.10 ( ~ class_Int_Onumber__ring(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0)),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12221]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_755,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)),X1) = X1
% 11.93/12.10 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7857_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12197,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)),X1) = X1
% 11.93/12.10 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_755]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12198,plain,
% 11.93/12.10 ( ~ class_Int_Onumber__ring(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)),X1) = X1 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12197]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_753,plain,
% 11.93/12.10 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.93/12.10 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7858_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12193,plain,
% 11.93/12.10 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.93/12.10 | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_753]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_751,plain,
% 11.93/12.10 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.93/12.10 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7859_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12189,plain,
% 11.93/12.10 ( c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.93/12.10 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_751]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_749,plain,
% 11.93/12.10 ( 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)
% 11.93/12.10 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7860_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12185,plain,
% 11.93/12.10 ( 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)
% 11.93/12.10 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_749]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12186,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 11.93/12.10 | 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) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12185]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_747,plain,
% 11.93/12.10 ( 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)
% 11.93/12.10 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7861_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12181,plain,
% 11.93/12.10 ( 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)
% 11.93/12.10 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_747]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12182,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 11.93/12.10 | 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) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12181]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_745,plain,
% 11.93/12.10 ( 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)
% 11.93/12.10 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7862_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12177,plain,
% 11.93/12.10 ( 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)
% 11.93/12.10 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_745]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12178,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.10 | 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) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12177]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_730,plain,
% 11.93/12.10 ( c_Int_Onumber__class_Onumber__of(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | 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)
% 11.93/12.10 | ~ class_Power_Opower(X1)
% 11.93/12.10 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7867_3) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12147,plain,
% 11.93/12.10 ( c_Int_Onumber__class_Onumber__of(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | 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)
% 11.93/12.10 | ~ class_Power_Opower(X1)
% 11.93/12.10 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_730]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12148,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 11.93/12.10 | ~ class_Power_Opower(X0)
% 11.93/12.10 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | 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) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12147]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_728,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.10 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.93/12.10 | X2 = X1
% 11.93/12.10 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7869_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12143,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.10 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.93/12.10 | X2 = X1
% 11.93/12.10 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_728]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12144,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.93/12.10 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.93/12.10 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 11.93/12.10 | X2 = X1 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12143]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_710,plain,
% 11.93/12.10 ( X0 = X1
% 11.93/12.10 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.10 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.93/12.10 | ~ class_Orderings_Olinorder(X2) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7873_3) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12107,plain,
% 11.93/12.10 ( X0 = X1
% 11.93/12.10 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.93/12.10 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.93/12.10 | ~ class_Orderings_Olinorder(X2) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_710]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12108,plain,
% 11.93/12.10 ( ~ class_Orderings_Olinorder(X0)
% 11.93/12.10 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.93/12.10 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 11.93/12.10 | X1 = X2 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12107]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_712,plain,
% 11.93/12.10 ( ~ class_Orderings_Olinorder(X0)
% 11.93/12.10 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.93/12.10 | X2 = X1
% 11.93/12.10 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7873_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12111,plain,
% 11.93/12.10 ( ~ class_Orderings_Olinorder(X0)
% 11.93/12.10 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.93/12.10 | X2 = X1
% 11.93/12.10 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_712]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12112,plain,
% 11.93/12.10 ( ~ class_Orderings_Olinorder(X0)
% 11.93/12.10 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.93/12.10 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 11.93/12.10 | X2 = X1 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12111]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_697,plain,
% 11.93/12.10 ( X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7878_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12081,plain,
% 11.93/12.10 ( X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_697]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12082,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12081]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_694,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7879_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12075,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_694]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12076,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12075]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_691,plain,
% 11.93/12.10 ( X0 = hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7880_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12069,plain,
% 11.93/12.10 ( X0 = hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_691]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12070,plain,
% 11.93/12.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12069]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_688,plain,
% 11.93/12.10 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) = X2
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7881_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12063,plain,
% 11.93/12.10 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) = X2
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_688]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12064,plain,
% 11.93/12.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) = X2 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12063]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_685,plain,
% 11.93/12.10 ( hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) = X2
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Oone__class_Oone(X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7882_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12057,plain,
% 11.93/12.10 ( hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) = X2
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Oone__class_Oone(X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_685]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12058,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Oone__class_Oone(X0)
% 11.93/12.10 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) = X2 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12057]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_682,plain,
% 11.93/12.10 ( c_lessequals(X0,X1,X2)
% 11.93/12.10 | c_lessequals(X1,X0,X2)
% 11.93/12.10 | ~ class_Orderings_Olinorder(X2) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7883_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12051,plain,
% 11.93/12.10 ( c_lessequals(X0,X1,X2)
% 11.93/12.10 | c_lessequals(X1,X0,X2)
% 11.93/12.10 | ~ class_Orderings_Olinorder(X2) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_682]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12052,plain,
% 11.93/12.10 ( ~ class_Orderings_Olinorder(X0)
% 11.93/12.10 | c_lessequals(X1,X2,X0)
% 11.93/12.10 | c_lessequals(X2,X1,X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12051]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_673,plain,
% 11.93/12.10 ( c_lessequals(X0,X0,X1)
% 11.93/12.10 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 11.93/12.10 | ~ class_Orderings_Olinorder(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7886_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12033,plain,
% 11.93/12.10 ( c_lessequals(X0,X0,X1)
% 11.93/12.10 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 11.93/12.10 | ~ class_Orderings_Olinorder(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_673]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12034,plain,
% 11.93/12.10 ( ~ class_Orderings_Olinorder(X0)
% 11.93/12.10 | c_lessequals(X1,X1,X0)
% 11.93/12.10 | c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12033]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_670,plain,
% 11.93/12.10 ( c_lessequals(X0,X1,X2)
% 11.93/12.10 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.93/12.10 | ~ class_Orderings_Olinorder(X2) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7887_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12027,plain,
% 11.93/12.10 ( c_lessequals(X0,X1,X2)
% 11.93/12.10 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.93/12.10 | ~ class_Orderings_Olinorder(X2) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_670]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12028,plain,
% 11.93/12.10 ( ~ class_Orderings_Olinorder(X0)
% 11.93/12.10 | c_lessequals(X1,X2,X0)
% 11.93/12.10 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12027]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_668,plain,
% 11.93/12.10 ( X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7888_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12023,plain,
% 11.93/12.10 ( X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_668]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12024,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.10 | X1 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12023]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_666,plain,
% 11.93/12.10 ( X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7889_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12019,plain,
% 11.93/12.10 ( X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_666]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12020,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.10 | X0 = hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12019]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_664,plain,
% 11.93/12.10 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7890_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12015,plain,
% 11.93/12.10 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_664]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12016,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.93/12.10 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12015]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_662,plain,
% 11.93/12.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7891_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12011,plain,
% 11.93/12.10 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_662]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12012,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.93/12.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12011]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_658,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)
% 11.93/12.10 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7893_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12003,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)
% 11.93/12.10 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_658]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12004,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_12003]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_656,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 11.93/12.10 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7894_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11999,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 11.93/12.10 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_656]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_12000,plain,
% 11.93/12.10 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11999]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_652,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 11.93/12.10 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7896_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11991,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 11.93/12.10 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_652]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11992,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11991]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_647,plain,
% 11.93/12.10 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.10 | X1 = X0
% 11.93/12.10 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7898_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11981,plain,
% 11.93/12.10 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.10 | X1 = X0
% 11.93/12.10 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_647]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11982,plain,
% 11.93/12.10 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.93/12.10 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 11.93/12.10 | X1 = X0 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11981]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_642,plain,
% 11.93/12.10 ( X0 = X1
% 11.93/12.10 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X2)
% 11.93/12.10 | ~ class_Ring__and__Field_Oidom(X2) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7899_3) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11971,plain,
% 11.93/12.10 ( X0 = X1
% 11.93/12.10 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X2)
% 11.93/12.10 | ~ class_Ring__and__Field_Oidom(X2) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_642]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11972,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X0)
% 11.93/12.10 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | X1 = X2 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11971]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_639,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0)) = c_HOL_Oone__class_Oone(X1)
% 11.93/12.10 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7900_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11965,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0)) = c_HOL_Oone__class_Oone(X1)
% 11.93/12.10 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_639]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11966,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)) = c_HOL_Oone__class_Oone(X0)
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11965]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_635,plain,
% 11.93/12.10 ( X0 = X1
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 11.93/12.10 | c_HOL_Oinverse__class_Odivide(X0,X1,X2) != c_HOL_Oone__class_Oone(X2)
% 11.93/12.10 | ~ class_Ring__and__Field_Ofield(X2) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7901_3) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11957,plain,
% 11.93/12.10 ( X0 = X1
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(X2)
% 11.93/12.10 | c_HOL_Oinverse__class_Odivide(X0,X1,X2) != c_HOL_Oone__class_Oone(X2)
% 11.93/12.10 | ~ class_Ring__and__Field_Ofield(X2) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_635]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11958,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.93/12.10 | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 11.93/12.10 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | X1 = X2 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11957]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_633,plain,
% 11.93/12.10 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7902_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11953,plain,
% 11.93/12.10 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_633]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_628,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7904_0) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11943,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_628]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_625,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7904_3) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11937,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_625]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11938,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11937]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_624,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7905_0) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11935,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_624]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_621,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7905_3) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11929,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_621]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11930,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11929]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_619,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0)),X1) = X1
% 11.93/12.10 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7906_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11925,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0)),X1) = X1
% 11.93/12.10 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_619]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11926,plain,
% 11.93/12.10 ( ~ class_Int_Onumber__ring(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0)),X1) = X1 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11925]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_616,plain,
% 11.93/12.10 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),hAPP(c_Suc,X1)) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_Power_Opower(X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7907_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11919,plain,
% 11.93/12.10 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),hAPP(c_Suc,X1)) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_Power_Opower(X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_616]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11920,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 11.93/12.10 | ~ class_Power_Opower(X0)
% 11.93/12.10 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),hAPP(c_Suc,X1)) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11919]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_612,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7910_0) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11911,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_612]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_610,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7910_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11907,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_610]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11908,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11907]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_608,plain,
% 11.93/12.10 ( 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)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7912_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11903,plain,
% 11.93/12.10 ( 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)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_608]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11904,plain,
% 11.93/12.10 ( ~ class_Int_Onumber__ring(X0)
% 11.93/12.10 | 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) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11903]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_604,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 11.93/12.10 | ~ class_Int_Onumber__ring(X1)
% 11.93/12.10 | ~ class_Ring__and__Field_Oidom(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7914_3) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11895,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 11.93/12.10 | ~ class_Int_Onumber__ring(X1)
% 11.93/12.10 | ~ class_Ring__and__Field_Oidom(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_604]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11896,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 11.93/12.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11895]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_598,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7916_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11883,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_598]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11884,plain,
% 11.93/12.10 ( ~ class_Int_Onumber__ring(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11883]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_589,plain,
% 11.93/12.10 ( X0 = X1
% 11.93/12.10 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 11.93/12.10 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7919_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11865,plain,
% 11.93/12.10 ( X0 = X1
% 11.93/12.10 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 11.93/12.10 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_589]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11866,plain,
% 11.93/12.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.93/12.10 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | X1 = X2 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11865]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_586,plain,
% 11.93/12.10 ( X0 = X1
% 11.93/12.10 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 11.93/12.10 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7920_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11859,plain,
% 11.93/12.10 ( X0 = X1
% 11.93/12.10 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 11.93/12.10 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_586]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11860,plain,
% 11.93/12.10 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 11.93/12.10 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | X1 = X2 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11859]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_584,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7921_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11855,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_584]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11856,plain,
% 11.93/12.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11855]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_575,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7923_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11837,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_575]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11838,plain,
% 11.93/12.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11837]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_572,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7924_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11831,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_572]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11832,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 11.93/12.10 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11831]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_569,plain,
% 11.93/12.10 ( ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(X0),X1),X1)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X1)
% 11.93/12.10 | ~ class_Int_Oring__char__0(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7927_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11825,plain,
% 11.93/12.10 ( ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(X0),X1),X1)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X1)
% 11.93/12.10 | ~ class_Int_Oring__char__0(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_569]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11826,plain,
% 11.93/12.10 ( ~ class_Int_Oring__char__0(X0)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X0)
% 11.93/12.10 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(X1),X0),X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11825]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_564,plain,
% 11.93/12.10 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7932_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11815,plain,
% 11.93/12.10 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_564]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11816,plain,
% 11.93/12.10 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11815]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_562,plain,
% 11.93/12.10 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7933_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11811,plain,
% 11.93/12.10 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_562]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11812,plain,
% 11.93/12.10 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11811]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_560,plain,
% 11.93/12.10 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7934_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11807,plain,
% 11.93/12.10 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_560]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11808,plain,
% 11.93/12.10 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11807]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_555,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)) = X1
% 11.93/12.10 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7936_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11797,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)) = X1
% 11.93/12.10 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_555]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11798,plain,
% 11.93/12.10 ( ~ class_Int_Onumber__ring(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0)) = X1 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11797]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_553,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7937_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11793,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_553]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11794,plain,
% 11.93/12.10 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
% 11.93/12.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11793]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_551,plain,
% 11.93/12.10 ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7942_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11789,plain,
% 11.93/12.10 ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_551]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11790,plain,
% 11.93/12.10 ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11789]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_549,plain,
% 11.93/12.10 ( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)
% 11.93/12.10 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7943_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11785,plain,
% 11.93/12.10 ( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)
% 11.93/12.10 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_549]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11786,plain,
% 11.93/12.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.93/12.10 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X0),X1,X0) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11785]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_547,plain,
% 11.93/12.10 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)
% 11.93/12.10 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7944_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11781,plain,
% 11.93/12.10 ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)
% 11.93/12.10 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_547]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11782,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.93/12.10 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11781]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_543,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Ozero__class_Ozero(X1)),X0) = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | ~ class_Power_Opower(X1)
% 11.93/12.10 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7945_3) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11773,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Ozero__class_Ozero(X1)),X0) = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | ~ class_Power_Opower(X1)
% 11.93/12.10 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_543]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11774,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 11.93/12.10 | ~ class_Power_Opower(X0)
% 11.93/12.10 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11773]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_540,plain,
% 11.93/12.10 ( 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)
% 11.93/12.10 | ~ class_Power_Opower(X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7946_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11767,plain,
% 11.93/12.10 ( 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)
% 11.93/12.10 | ~ class_Power_Opower(X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_540]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11768,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 11.93/12.10 | ~ class_Power_Opower(X0)
% 11.93/12.10 | 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) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11767]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_536,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7950_0) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11759,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_536]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_534,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7950_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11755,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_534]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11756,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11755]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_526,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | X0 = X2
% 11.93/12.10 | hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0) != hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2)
% 11.93/12.10 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7954_4) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11739,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | X0 = X2
% 11.93/12.10 | hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0) != hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2)
% 11.93/12.10 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_526]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11740,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.93/12.10 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) != hAPP(c_HOL_Oinverse__class_Oinverse(X0),X2)
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | X1 = X2 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11739]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_524,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0)) = X1
% 11.93/12.10 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7955_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11735,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0)) = X1
% 11.93/12.10 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_524]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11736,plain,
% 11.93/12.10 ( ~ class_Int_Onumber__ring(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0)) = X1 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11735]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_521,plain,
% 11.93/12.10 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) != X1 ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7957_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11729,plain,
% 11.93/12.10 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) != X1 ),
% 11.93/12.10 inference(copy,[status(esa)],[c_521]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11730,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != X0
% 11.93/12.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11729]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_519,plain,
% 11.93/12.10 ( 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)
% 11.93/12.10 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7958_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11725,plain,
% 11.93/12.10 ( 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)
% 11.93/12.10 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_519]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11726,plain,
% 11.93/12.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 11.93/12.10 | 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) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11725]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_513,plain,
% 11.93/12.10 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) != c_HOL_Oone__class_Oone(tc_nat) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7961_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11713,plain,
% 11.93/12.10 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) != c_HOL_Oone__class_Oone(tc_nat) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_513]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11714,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 11.93/12.10 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11713]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_511,plain,
% 11.93/12.10 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7962_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11709,plain,
% 11.93/12.10 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_511]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11710,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 11.93/12.10 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11709]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_509,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7963_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11705,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_509]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11706,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11705]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_507,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7964_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11701,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_507]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11702,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11701]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_505,plain,
% 11.93/12.10 ( ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0),X0)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7965_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11697,plain,
% 11.93/12.10 ( ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0),X0)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_505]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11698,plain,
% 11.93/12.10 ( ~ class_Int_Onumber__ring(X0)
% 11.93/12.10 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0),X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11697]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_486,plain,
% 11.93/12.10 ( c_Power_Opower_Opower(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X0),X0) = c_Power_Opower__class_Opower(X0)
% 11.93/12.10 | ~ class_Power_Opower(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7977_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11659,plain,
% 11.93/12.10 ( c_Power_Opower_Opower(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X0),X0) = c_Power_Opower__class_Opower(X0)
% 11.93/12.10 | ~ class_Power_Opower(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_486]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11660,plain,
% 11.93/12.10 ( ~ class_Power_Opower(X0)
% 11.93/12.10 | c_Power_Opower_Opower(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X0),X0) = c_Power_Opower__class_Opower(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11659]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_482,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7979_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11651,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 11.93/12.10 inference(copy,[status(esa)],[c_482]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11652,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11651]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_480,plain,
% 11.93/12.10 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(c_Suc,X0),tc_nat)
% 11.93/12.10 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7980_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11647,plain,
% 11.93/12.10 ( ~ c_Parity_Oeven__odd__class_Oeven(hAPP(c_Suc,X0),tc_nat)
% 11.93/12.10 | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_480]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_474,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7985_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11635,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_474]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11636,plain,
% 11.93/12.10 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11635]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_472,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7986_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11631,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_472]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11632,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11631]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_470,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7987_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11627,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_470]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11628,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11627]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_468,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7988_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11623,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_468]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11624,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11623]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_466,plain,
% 11.93/12.10 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oone__class_Oone(X0)),X1) = c_HOL_Oone__class_Oone(X0)
% 11.93/12.10 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7989_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11619,plain,
% 11.93/12.10 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oone__class_Oone(X0)),X1) = c_HOL_Oone__class_Oone(X0)
% 11.93/12.10 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_466]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11620,plain,
% 11.93/12.10 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 11.93/12.10 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oone__class_Oone(X0)),X1) = c_HOL_Oone__class_Oone(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11619]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_464,plain,
% 11.93/12.10 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7990_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11615,plain,
% 11.93/12.10 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_464]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11616,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.93/12.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11615]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_462,plain,
% 11.93/12.10 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7991_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11611,plain,
% 11.93/12.10 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_462]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11612,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.93/12.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11611]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_459,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 11.93/12.10 | ~ class_Int_Onumber__ring(X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Oidom(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7992_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11605,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 11.93/12.10 | ~ class_Int_Onumber__ring(X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Oidom(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_459]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11606,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11605]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_453,plain,
% 11.93/12.10 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X1)
% 11.93/12.10 | ~ class_Ring__and__Field_Oidom(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7994_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11593,plain,
% 11.93/12.10 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X1)
% 11.93/12.10 | ~ class_Ring__and__Field_Oidom(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_453]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11594,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.93/12.10 | ~ class_Int_Onumber__ring(X0)
% 11.93/12.10 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11593]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_450,plain,
% 11.93/12.10 ( X0 = X1
% 11.93/12.10 | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X0) != hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
% 11.93/12.10 | ~ class_Lattices_Oboolean__algebra(X2) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7995_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11587,plain,
% 11.93/12.10 ( X0 = X1
% 11.93/12.10 | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X0) != hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
% 11.93/12.10 | ~ class_Lattices_Oboolean__algebra(X2) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_450]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11588,plain,
% 11.93/12.10 ( ~ class_Lattices_Oboolean__algebra(X0)
% 11.93/12.10 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)
% 11.93/12.10 | X1 = X2 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11587]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_447,plain,
% 11.93/12.10 ( X0 = X1
% 11.93/12.10 | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X0) != hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
% 11.93/12.10 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7996_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11581,plain,
% 11.93/12.10 ( X0 = X1
% 11.93/12.10 | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X0) != hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
% 11.93/12.10 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_447]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11582,plain,
% 11.93/12.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.93/12.10 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)
% 11.93/12.10 | X1 = X2 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11581]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_443,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 11.93/12.10 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7998_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11573,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 11.93/12.10 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_443]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11574,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11573]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_441,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 11.93/12.10 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7999_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11569,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 11.93/12.10 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_441]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11570,plain,
% 11.93/12.10 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11569]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_439,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 11.93/12.10 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8000_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11565,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 11.93/12.10 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_439]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11566,plain,
% 11.93/12.10 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11565]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_435,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 11.93/12.10 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8002_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11557,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 11.93/12.10 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_435]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11558,plain,
% 11.93/12.10 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11557]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_433,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 11.93/12.10 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8003_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11553,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 11.93/12.10 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_433]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11554,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11553]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_431,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 11.93/12.10 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8004_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11549,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 11.93/12.10 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_431]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11550,plain,
% 11.93/12.10 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11549]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_429,plain,
% 11.93/12.10 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | ~ class_Divides_Osemiring__div(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8005_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11545,plain,
% 11.93/12.10 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | ~ class_Divides_Osemiring__div(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_429]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11546,plain,
% 11.93/12.10 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.10 | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11545]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_426,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | hAPP(c_HOL_Oinverse__class_Oinverse(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0)) = X0
% 11.93/12.10 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8006_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11539,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | hAPP(c_HOL_Oinverse__class_Oinverse(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0)) = X0
% 11.93/12.10 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_426]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11540,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.93/12.10 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1)) = X1
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11539]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_424,plain,
% 11.93/12.10 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8007_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11535,plain,
% 11.93/12.10 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_424]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11536,plain,
% 11.93/12.10 ( ~ class_RealVector_Oreal__normed__field(X0)
% 11.93/12.10 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11535]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_422,plain,
% 11.93/12.10 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8008_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11531,plain,
% 11.93/12.10 ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Ofield(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_422]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11532,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.93/12.10 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11531]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_420,plain,
% 11.93/12.10 ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8009_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11527,plain,
% 11.93/12.10 ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_420]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11528,plain,
% 11.93/12.10 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.10 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11527]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_418,plain,
% 11.93/12.10 ( c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8010_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11523,plain,
% 11.93/12.10 ( c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_Divides_Osemiring__div(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_418]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11524,plain,
% 11.93/12.10 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.10 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11523]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_416,plain,
% 11.93/12.10 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | ~ class_Divides_Osemiring__div(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8011_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11519,plain,
% 11.93/12.10 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | ~ class_Divides_Osemiring__div(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_416]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11520,plain,
% 11.93/12.10 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.10 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11519]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_413,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | c_Divides_Odiv__class_Odiv(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 11.93/12.10 | ~ class_Divides_Osemiring__div(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8012_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11513,plain,
% 11.93/12.10 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | c_Divides_Odiv__class_Odiv(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 11.93/12.10 | ~ class_Divides_Osemiring__div(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_413]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11514,plain,
% 11.93/12.10 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.10 | c_Divides_Odiv__class_Odiv(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11513]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_407,plain,
% 11.93/12.10 ( c_HOL_Oinverse__class_Odivide(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 11.93/12.10 | X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8014_2) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11501,plain,
% 11.93/12.10 ( c_HOL_Oinverse__class_Odivide(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 11.93/12.10 | X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_407]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11502,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.93/12.10 | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 11.93/12.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11501]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_405,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8015_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11497,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_405]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11498,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11497]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_401,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8017_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11489,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_401]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11490,plain,
% 11.93/12.10 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11489]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_399,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8018_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11485,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_399]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11486,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11485]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_397,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8019_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11481,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.10 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_397]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11482,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11481]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_395,plain,
% 11.93/12.10 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8020_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11477,plain,
% 11.93/12.10 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_395]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_393,plain,
% 11.93/12.10 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 11.93/12.10 | ~ class_Divides_Osemiring__div(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8021_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11473,plain,
% 11.93/12.10 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 11.93/12.10 | ~ class_Divides_Osemiring__div(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_393]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11474,plain,
% 11.93/12.10 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.10 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11473]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_391,plain,
% 11.93/12.10 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 11.93/12.10 | ~ class_Divides_Osemiring__div(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8022_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11469,plain,
% 11.93/12.10 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 11.93/12.10 | ~ class_Divides_Osemiring__div(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_391]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11470,plain,
% 11.93/12.10 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.10 | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11469]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_389,plain,
% 11.93/12.10 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 11.93/12.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8023_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11465,plain,
% 11.93/12.10 ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 11.93/12.10 | ~ class_Ring__and__Field_Ofield(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_389]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11466,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Ofield(X0)
% 11.93/12.10 | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11465]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_387,plain,
% 11.93/12.10 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 11.93/12.10 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8024_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11461,plain,
% 11.93/12.10 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 11.93/12.10 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_387]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11462,plain,
% 11.93/12.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.93/12.10 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11461]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_385,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1
% 11.93/12.10 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8025_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11457,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1
% 11.93/12.10 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_385]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11458,plain,
% 11.93/12.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11457]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_383,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1
% 11.93/12.10 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8026_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11453,plain,
% 11.93/12.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1
% 11.93/12.10 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_383]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11454,plain,
% 11.93/12.10 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 11.93/12.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11453]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_379,plain,
% 11.93/12.10 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = X1
% 11.93/12.10 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 11.93/12.10 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8028_1) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11445,plain,
% 11.93/12.10 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = X1
% 11.93/12.10 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 11.93/12.10 inference(copy,[status(esa)],[c_379]) ).
% 11.93/12.10
% 11.93/12.10 cnf(c_11446,plain,
% 11.93/12.10 ( ~ class_Lattices_Oboolean__algebra(X0)
% 11.93/12.10 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = X1 ),
% 11.93/12.10 inference(rewriting,[status(thm)],[c_11445]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_373,plain,
% 11.93/12.11 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = X1
% 11.93/12.11 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8031_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11433,plain,
% 11.93/12.11 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = X1
% 11.93/12.11 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_373]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11434,plain,
% 11.93/12.11 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.93/12.11 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = X1 ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11433]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_371,plain,
% 11.93/12.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 11.93/12.11 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8032_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11429,plain,
% 11.93/12.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 11.93/12.11 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_371]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11430,plain,
% 11.93/12.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11429]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_369,plain,
% 11.93/12.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 11.93/12.11 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8033_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11425,plain,
% 11.93/12.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 11.93/12.11 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_369]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11426,plain,
% 11.93/12.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.93/12.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11425]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_367,plain,
% 11.93/12.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 11.93/12.11 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8034_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11421,plain,
% 11.93/12.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 11.93/12.11 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_367]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11422,plain,
% 11.93/12.11 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 11.93/12.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11421]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_365,plain,
% 11.93/12.11 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0)
% 11.93/12.11 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8035_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11417,plain,
% 11.93/12.11 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0)
% 11.93/12.11 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_365]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11418,plain,
% 11.93/12.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.11 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11417]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_363,plain,
% 11.93/12.11 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0)
% 11.93/12.11 | ~ class_Power_Opower(X0) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8036_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11413,plain,
% 11.93/12.11 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0)
% 11.93/12.11 | ~ class_Power_Opower(X0) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_363]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11414,plain,
% 11.93/12.11 ( ~ class_Power_Opower(X0)
% 11.93/12.11 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11413]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_361,plain,
% 11.93/12.11 ( c_Divides_Odiv__class_Omod(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.11 | ~ class_Divides_Osemiring__div(X1) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8039_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11409,plain,
% 11.93/12.11 ( c_Divides_Odiv__class_Omod(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.11 | ~ class_Divides_Osemiring__div(X1) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_361]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11410,plain,
% 11.93/12.11 ( ~ class_Divides_Osemiring__div(X0)
% 11.93/12.11 | c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11409]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_359,plain,
% 11.93/12.11 ( ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0),X0)
% 11.93/12.11 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8040_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11405,plain,
% 11.93/12.11 ( ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0),X0)
% 11.93/12.11 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_359]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11406,plain,
% 11.93/12.11 ( ~ class_Int_Onumber__ring(X0)
% 11.93/12.11 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0),X0) ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11405]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_355,plain,
% 11.93/12.11 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.11 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8042_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11397,plain,
% 11.93/12.11 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.11 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_355]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11398,plain,
% 11.93/12.11 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.93/12.11 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11397]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_353,plain,
% 11.93/12.11 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.11 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8043_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11393,plain,
% 11.93/12.11 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.11 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_353]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11394,plain,
% 11.93/12.11 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 11.93/12.11 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11393]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_351,plain,
% 11.93/12.11 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1
% 11.93/12.11 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8045_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11389,plain,
% 11.93/12.11 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1
% 11.93/12.11 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_351]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11390,plain,
% 11.93/12.11 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 11.93/12.11 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1 ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11389]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_349,plain,
% 11.93/12.11 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1
% 11.93/12.11 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8046_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11385,plain,
% 11.93/12.11 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1
% 11.93/12.11 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_349]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11386,plain,
% 11.93/12.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.93/12.11 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Oone__class_Oone(tc_nat)) = X1 ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11385]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_347,plain,
% 11.93/12.11 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8047_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11381,plain,
% 11.93/12.11 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_347]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11382,plain,
% 11.93/12.11 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11381]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_345,plain,
% 11.93/12.11 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8048_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11377,plain,
% 11.93/12.11 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_345]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11378,plain,
% 11.93/12.11 ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11377]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_341,plain,
% 11.93/12.11 ( X0 = X1
% 11.93/12.11 | c_Int_Onumber__class_Onumber__of(X0,X2) != c_Int_Onumber__class_Onumber__of(X1,X2)
% 11.93/12.11 | ~ class_Int_Onumber__ring(X2)
% 11.93/12.11 | ~ class_Int_Oring__char__0(X2) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8050_3) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11369,plain,
% 11.93/12.11 ( X0 = X1
% 11.93/12.11 | c_Int_Onumber__class_Onumber__of(X0,X2) != c_Int_Onumber__class_Onumber__of(X1,X2)
% 11.93/12.11 | ~ class_Int_Onumber__ring(X2)
% 11.93/12.11 | ~ class_Int_Oring__char__0(X2) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_341]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11370,plain,
% 11.93/12.11 ( ~ class_Int_Oring__char__0(X0)
% 11.93/12.11 | ~ class_Int_Onumber__ring(X0)
% 11.93/12.11 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_Int_Onumber__class_Onumber__of(X2,X0)
% 11.93/12.11 | X1 = X2 ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11369]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_339,plain,
% 11.93/12.11 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = X1
% 11.93/12.11 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8051_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11365,plain,
% 11.93/12.11 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = X1
% 11.93/12.11 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_339]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11366,plain,
% 11.93/12.11 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 11.93/12.11 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = X1 ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11365]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_337,plain,
% 11.93/12.11 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8052_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11361,plain,
% 11.93/12.11 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.93/12.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_337]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11362,plain,
% 11.93/12.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.93/12.11 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11361]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_326,plain,
% 11.93/12.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.11 | hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0) != c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.11 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8071_2) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11339,plain,
% 11.93/12.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.11 | hAPP(c_HOL_Oinverse__class_Oinverse(X1),X0) != c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.11 | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_326]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11340,plain,
% 11.93/12.11 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.93/12.11 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),X1) != c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11339]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_323,plain,
% 11.93/12.11 ( c_HOL_Ozero__class_Ozero(X0) = X1
% 11.93/12.11 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) != c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.11 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8072_2) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11333,plain,
% 11.93/12.11 ( c_HOL_Ozero__class_Ozero(X0) = X1
% 11.93/12.11 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) != c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.11 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_323]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11334,plain,
% 11.93/12.11 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.93/12.11 | c_HOL_Ozero__class_Ozero(X0) = X1
% 11.93/12.11 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) != c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11333]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_320,plain,
% 11.93/12.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.11 | hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0) != c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.11 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8073_2) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11327,plain,
% 11.93/12.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.11 | hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0) != c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.11 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_320]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11328,plain,
% 11.93/12.11 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.93/12.11 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) != c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11327]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_318,plain,
% 11.93/12.11 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.11 | c_Parity_Oeven__odd__class_Oeven(hAPP(c_Suc,X0),tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8077_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11323,plain,
% 11.93/12.11 ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 11.93/12.11 | c_Parity_Oeven__odd__class_Oeven(hAPP(c_Suc,X0),tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_318]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11324,plain,
% 11.93/12.11 ( c_Parity_Oeven__odd__class_Oeven(hAPP(c_Suc,X0),tc_nat)
% 11.93/12.11 | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11323]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_314,plain,
% 11.93/12.11 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0)
% 11.93/12.11 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8079_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11315,plain,
% 11.93/12.11 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0)
% 11.93/12.11 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_314]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11316,plain,
% 11.93/12.11 ( ~ class_Int_Onumber__ring(X0)
% 11.93/12.11 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Oone__class_Oone(X0)) = c_Int_Onumber__class_Onumber__of(c_Int_OMin,X0) ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11315]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_311,plain,
% 11.93/12.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.11 | hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0) != X0
% 11.93/12.11 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8080_2) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11309,plain,
% 11.93/12.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.11 | hAPP(c_HOL_Ouminus__class_Ouminus(X1),X0) != X0
% 11.93/12.11 | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_311]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11310,plain,
% 11.93/12.11 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 11.93/12.11 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) != X1
% 11.93/12.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11309]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_303,plain,
% 11.93/12.11 ( c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0),X0)
% 11.93/12.11 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8083_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11293,plain,
% 11.93/12.11 ( c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0),X0)
% 11.93/12.11 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_303]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11294,plain,
% 11.93/12.11 ( ~ class_Int_Onumber__ring(X0)
% 11.93/12.11 | c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0),X0) ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11293]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_299,plain,
% 11.93/12.11 ( X0 = X1 | hAPP(c_Suc,X0) != hAPP(c_Suc,X1) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8085_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11285,plain,
% 11.93/12.11 ( X0 = X1 | hAPP(c_Suc,X0) != hAPP(c_Suc,X1) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_299]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11286,plain,
% 11.93/12.11 ( hAPP(c_Suc,X0) != hAPP(c_Suc,X1) | X0 = X1 ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11285]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_297,plain,
% 11.93/12.11 ( ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0)
% 11.93/12.11 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8086_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11281,plain,
% 11.93/12.11 ( ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0)
% 11.93/12.11 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_297]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11282,plain,
% 11.93/12.11 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 11.93/12.11 | ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0) ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11281]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_295,plain,
% 11.93/12.11 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8087_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11277,plain,
% 11.93/12.11 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_295]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_293,plain,
% 11.93/12.11 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 11.93/12.11 | ~ class_Orderings_Opreorder(X1) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8088_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11273,plain,
% 11.93/12.11 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 11.93/12.11 | ~ class_Orderings_Opreorder(X1) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_293]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_291,plain,
% 11.93/12.11 ( class_Lattices_Oboolean__algebra(tc_fun(X0,X1))
% 11.93/12.11 | ~ class_Lattices_Oboolean__algebra(X1) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8089_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11269,plain,
% 11.93/12.11 ( class_Lattices_Oboolean__algebra(tc_fun(X0,X1))
% 11.93/12.11 | ~ class_Lattices_Oboolean__algebra(X1) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_291]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_289,plain,
% 11.93/12.11 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.11 | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8090_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11265,plain,
% 11.93/12.11 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.11 | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_289]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11266,plain,
% 11.93/12.11 ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 11.93/12.11 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11265]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_285,plain,
% 11.93/12.11 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.11 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8092_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11257,plain,
% 11.93/12.11 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.11 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_285]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11258,plain,
% 11.93/12.11 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.93/12.11 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11257]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_283,plain,
% 11.93/12.11 ( hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_HOL_Oone__class_Oone(X0)) = c_HOL_Oone__class_Oone(X0)
% 11.93/12.11 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8093_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11253,plain,
% 11.93/12.11 ( hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_HOL_Oone__class_Oone(X0)) = c_HOL_Oone__class_Oone(X0)
% 11.93/12.11 | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_283]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11254,plain,
% 11.93/12.11 ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 11.93/12.11 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_HOL_Oone__class_Oone(X0)) = c_HOL_Oone__class_Oone(X0) ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11253]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_281,plain,
% 11.93/12.11 ( hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8094_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11249,plain,
% 11.93/12.11 ( hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.11 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_281]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11250,plain,
% 11.93/12.11 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 11.93/12.11 | hAPP(c_HOL_Oinverse__class_Oinverse(X0),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11249]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_278,plain,
% 11.93/12.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.11 | ~ c_Int_Oiszero(X0,X1)
% 11.93/12.11 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8095_2) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11243,plain,
% 11.93/12.11 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.93/12.11 | ~ c_Int_Oiszero(X0,X1)
% 11.93/12.11 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_278]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11244,plain,
% 11.93/12.11 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 11.93/12.11 | ~ c_Int_Oiszero(X1,X0)
% 11.93/12.11 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11243]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_274,plain,
% 11.93/12.11 ( c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0) = c_HOL_Oone__class_Oone(X0)
% 11.93/12.11 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8099_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11235,plain,
% 11.93/12.11 ( c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0) = c_HOL_Oone__class_Oone(X0)
% 11.93/12.11 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_274]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11236,plain,
% 11.93/12.11 ( ~ class_Int_Onumber__ring(X0)
% 11.93/12.11 | c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0) = c_HOL_Oone__class_Oone(X0) ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11235]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_272,plain,
% 11.93/12.11 ( c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.11 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8100_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11231,plain,
% 11.93/12.11 ( c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0)
% 11.93/12.11 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_272]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11232,plain,
% 11.93/12.11 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 11.93/12.11 | c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11231]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_268,plain,
% 11.93/12.11 ( c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.11 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8103_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11223,plain,
% 11.93/12.11 ( c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.11 | ~ class_Int_Onumber__ring(X0) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_268]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11224,plain,
% 11.93/12.11 ( ~ class_Int_Onumber__ring(X0)
% 11.93/12.11 | c_Int_Onumber__class_Onumber__of(c_Int_OPls,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11223]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_264,plain,
% 11.93/12.11 ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.11 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8112_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11215,plain,
% 11.93/12.11 ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 11.93/12.11 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_264]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11216,plain,
% 11.93/12.11 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 11.93/12.11 | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11215]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_262,plain,
% 11.93/12.11 ( X0 = X1 | c_Int_OBit1(X0) != c_Int_OBit1(X1) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8119_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11211,plain,
% 11.93/12.11 ( X0 = X1 | c_Int_OBit1(X0) != c_Int_OBit1(X1) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_262]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11212,plain,
% 11.93/12.11 ( c_Int_OBit1(X0) != c_Int_OBit1(X1) | X0 = X1 ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11211]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_260,plain,
% 11.93/12.11 ( X0 = X1 | c_Int_OBit0(X0) != c_Int_OBit0(X1) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8120_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11207,plain,
% 11.93/12.11 ( X0 = X1 | c_Int_OBit0(X0) != c_Int_OBit0(X1) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_260]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11208,plain,
% 11.93/12.11 ( c_Int_OBit0(X0) != c_Int_OBit0(X1) | X0 = X1 ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11207]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_258,plain,
% 11.93/12.11 ( c_Int_OPls = X0 | c_Int_OBit0(X0) != c_Int_OPls ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8126_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11203,plain,
% 11.93/12.11 ( c_Int_OPls = X0 | c_Int_OBit0(X0) != c_Int_OPls ),
% 11.93/12.11 inference(copy,[status(esa)],[c_258]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_256,plain,
% 11.93/12.11 ( X0 = c_Int_OPls | c_Int_OBit0(X0) != c_Int_OPls ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8127_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11199,plain,
% 11.93/12.11 ( X0 = c_Int_OPls | c_Int_OBit0(X0) != c_Int_OPls ),
% 11.93/12.11 inference(copy,[status(esa)],[c_256]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11200,plain,
% 11.93/12.11 ( c_Int_OBit0(X0) != c_Int_OPls | X0 = c_Int_OPls ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11199]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_254,plain,
% 11.93/12.11 ( c_Int_OMin = X0 | c_Int_OBit1(X0) != c_Int_OMin ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8128_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11195,plain,
% 11.93/12.11 ( c_Int_OMin = X0 | c_Int_OBit1(X0) != c_Int_OMin ),
% 11.93/12.11 inference(copy,[status(esa)],[c_254]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_252,plain,
% 11.93/12.11 ( X0 = c_Int_OMin | c_Int_OBit1(X0) != c_Int_OMin ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8129_1) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11191,plain,
% 11.93/12.11 ( X0 = c_Int_OMin | c_Int_OBit1(X0) != c_Int_OMin ),
% 11.93/12.11 inference(copy,[status(esa)],[c_252]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11192,plain,
% 11.93/12.11 ( c_Int_OBit1(X0) != c_Int_OMin | X0 = c_Int_OMin ),
% 11.93/12.11 inference(rewriting,[status(thm)],[c_11191]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_251,plain,
% 11.93/12.11 ( ~ 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) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6803_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11189,plain,
% 11.93/12.11 ( ~ 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) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_251]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_250,plain,
% 11.93/12.11 ( ~ 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) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6848_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11187,plain,
% 11.93/12.11 ( ~ 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) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_250]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_249,plain,
% 11.93/12.11 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7620_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11185,plain,
% 11.93/12.11 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_249]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_248,plain,
% 11.93/12.11 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7621_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11183,plain,
% 11.93/12.11 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_248]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_247,plain,
% 11.93/12.11 ( ~ c_lessequals(hAPP(c_Suc,X0),X0,tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7868_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11181,plain,
% 11.93/12.11 ( ~ c_lessequals(hAPP(c_Suc,X0),X0,tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_247]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_246,plain,
% 11.93/12.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7931_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11179,plain,
% 11.93/12.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_246]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_244,plain,
% 11.93/12.11 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7941_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11175,plain,
% 11.93/12.11 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_244]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_242,plain,
% 11.93/12.11 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7952_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11171,plain,
% 11.93/12.11 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_242]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_241,plain,
% 11.93/12.11 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8101_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11169,plain,
% 11.93/12.11 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_241]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_237,plain,
% 11.93/12.11 ( hAPP(c_Suc,X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8107_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11161,plain,
% 11.93/12.11 ( hAPP(c_Suc,X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_237]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_236,plain,
% 11.93/12.11 ( c_Fact_Ofact__class_Ofact(X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8108_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11159,plain,
% 11.93/12.11 ( c_Fact_Ofact__class_Ofact(X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_236]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_234,plain,
% 11.93/12.11 ( hAPP(c_Suc,X0) != X0 ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8110_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11155,plain,
% 11.93/12.11 ( hAPP(c_Suc,X0) != X0 ),
% 11.93/12.11 inference(copy,[status(esa)],[c_234]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_233,plain,
% 11.93/12.11 ( c_Int_OBit0(X0) != c_Int_OBit1(X1) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8124_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11153,plain,
% 11.93/12.11 ( c_Int_OBit0(X0) != c_Int_OBit1(X1) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_233]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_232,plain,
% 11.93/12.11 ( c_Int_OBit1(X0) != c_Int_OBit0(X1) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8125_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11151,plain,
% 11.93/12.11 ( c_Int_OBit1(X0) != c_Int_OBit0(X1) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_232]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_230,plain,
% 11.93/12.11 ( c_Int_OBit1(X0) != c_Int_OPls ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8131_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11147,plain,
% 11.93/12.11 ( c_Int_OBit1(X0) != c_Int_OPls ),
% 11.93/12.11 inference(copy,[status(esa)],[c_230]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_228,plain,
% 11.93/12.11 ( c_Int_OBit0(X0) != c_Int_OMin ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8133_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11143,plain,
% 11.93/12.11 ( c_Int_OBit0(X0) != c_Int_OMin ),
% 11.93/12.11 inference(copy,[status(esa)],[c_228]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_226,plain,
% 11.93/12.11 ( c_Int_OPls != c_Int_OMin ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8224_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11139,plain,
% 11.93/12.11 ( c_Int_OPls != c_Int_OMin ),
% 11.93/12.11 inference(copy,[status(esa)],[c_226]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_214,plain,
% 11.93/12.11 ( 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)) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_6963_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11125,plain,
% 11.93/12.11 ( 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)) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_214]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_201,plain,
% 11.93/12.11 ( 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) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7193_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11111,plain,
% 11.93/12.11 ( 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) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_201]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_195,plain,
% 11.93/12.11 ( 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)),X0,tc_nat,tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7299_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11104,plain,
% 11.93/12.11 ( 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)),X0,tc_nat,tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_195]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_190,plain,
% 11.93/12.11 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X0)),tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7412_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11098,plain,
% 11.93/12.11 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X0)),tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_190]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_189,plain,
% 11.93/12.11 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7440_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11096,plain,
% 11.93/12.11 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_189]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_185,plain,
% 11.93/12.11 ( 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) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7473_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11091,plain,
% 11.93/12.11 ( 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) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_185]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_182,plain,
% 11.93/12.11 ( 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)) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7512_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11087,plain,
% 11.93/12.11 ( 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)) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_182]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_177,plain,
% 11.93/12.11 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7547_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11080,plain,
% 11.93/12.11 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_177]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_176,plain,
% 11.93/12.11 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7548_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11078,plain,
% 11.93/12.11 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_176]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_175,plain,
% 11.93/12.11 ( c_Fun_Oinj__on(c_Suc,X0,tc_nat,tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7562_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11076,plain,
% 11.93/12.11 ( c_Fun_Oinj__on(c_Suc,X0,tc_nat,tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_175]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_167,plain,
% 11.93/12.11 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),hAPP(c_Suc,X0),tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7715_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11067,plain,
% 11.93/12.11 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),hAPP(c_Suc,X0),tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_167]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_163,plain,
% 11.93/12.11 ( c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X0,tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7773_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11062,plain,
% 11.93/12.11 ( c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X0,tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_163]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_162,plain,
% 11.93/12.11 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7774_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11060,plain,
% 11.93/12.11 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_162]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_161,plain,
% 11.93/12.11 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),X0,tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7775_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11058,plain,
% 11.93/12.11 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),X0,tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_161]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_153,plain,
% 11.93/12.11 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X0),tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7812_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11049,plain,
% 11.93/12.11 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X0),tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_153]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_151,plain,
% 11.93/12.11 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7814_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11045,plain,
% 11.93/12.11 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_151]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_149,plain,
% 11.93/12.11 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7816_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11041,plain,
% 11.93/12.11 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_149]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_142,plain,
% 11.93/12.11 ( c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),c_Fact_Ofact__class_Ofact(X0,tc_nat),tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7908_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11033,plain,
% 11.93/12.11 ( c_lessequals(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),c_Fact_Ofact__class_Ofact(X0,tc_nat),tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_142]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_141,plain,
% 11.93/12.11 ( 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) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7911_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11031,plain,
% 11.93/12.11 ( 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) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_141]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_140,plain,
% 11.93/12.11 ( 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) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7913_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11029,plain,
% 11.93/12.11 ( 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) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_140]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_139,plain,
% 11.93/12.11 ( c_lessequals(hAPP(c_Suc,X0),hAPP(c_Suc,X0),tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7925_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11027,plain,
% 11.93/12.11 ( c_lessequals(hAPP(c_Suc,X0),hAPP(c_Suc,X0),tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_139]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_138,plain,
% 11.93/12.11 ( 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)) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7926_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11025,plain,
% 11.93/12.11 ( 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)) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_138]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_135,plain,
% 11.93/12.11 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7938_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11021,plain,
% 11.93/12.11 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_135]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_134,plain,
% 11.93/12.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7939_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11019,plain,
% 11.93/12.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_134]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_133,plain,
% 11.93/12.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7947_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11017,plain,
% 11.93/12.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_133]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_128,plain,
% 11.93/12.11 ( c_lessequals(c_HOL_Oone__class_Oone(tc_nat),c_Fact_Ofact__class_Ofact(X0,tc_nat),tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7969_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11011,plain,
% 11.93/12.11 ( c_lessequals(c_HOL_Oone__class_Oone(tc_nat),c_Fact_Ofact__class_Ofact(X0,tc_nat),tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_128]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_126,plain,
% 11.93/12.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,X0),tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7971_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11007,plain,
% 11.93/12.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,X0),tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_126]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_125,plain,
% 11.93/12.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Fact_Ofact__class_Ofact(X0,tc_nat),tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7972_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11005,plain,
% 11.93/12.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Fact_Ofact__class_Ofact(X0,tc_nat),tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_125]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_123,plain,
% 11.93/12.11 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X0),tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_7982_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11001,plain,
% 11.93/12.11 ( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X0),tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_123]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_118,plain,
% 11.93/12.11 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8053_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10995,plain,
% 11.93/12.11 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_118]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_111,plain,
% 11.93/12.11 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8062_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10987,plain,
% 11.93/12.11 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_111]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_109,plain,
% 11.93/12.11 ( c_fequal(X0,X0,X1) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8064_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10984,plain,
% 11.93/12.11 ( c_fequal(X0,X0,X1) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_109]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_106,plain,
% 11.93/12.11 ( c_lessequals(X0,X0,tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8067_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10979,plain,
% 11.93/12.11 ( c_lessequals(X0,X0,tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_106]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_92,plain,
% 11.93/12.11 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8118_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10964,plain,
% 11.93/12.11 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_92]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_88,plain,
% 11.93/12.11 ( class_Int_Onumber(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8134_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10959,plain,
% 11.93/12.11 ( class_Int_Onumber(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_88]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_87,plain,
% 11.93/12.11 ( class_Power_Opower(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8135_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10957,plain,
% 11.93/12.11 ( class_Power_Opower(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_87]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_86,plain,
% 11.93/12.11 ( class_Int_Onumber__ring(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8136_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10955,plain,
% 11.93/12.11 ( class_Int_Onumber__ring(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_86]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_85,plain,
% 11.93/12.11 ( class_Int_Oring__char__0(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8137_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10953,plain,
% 11.93/12.11 ( class_Int_Oring__char__0(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_85]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_84,plain,
% 11.93/12.11 ( class_Orderings_Oorder(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8138_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10951,plain,
% 11.93/12.11 ( class_Orderings_Oorder(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_84]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_83,plain,
% 11.93/12.11 ( class_Divides_Oring__div(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8139_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10949,plain,
% 11.93/12.11 ( class_Divides_Oring__div(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_83]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_82,plain,
% 11.93/12.11 ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8140_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10947,plain,
% 11.93/12.11 ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_82]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_81,plain,
% 11.93/12.11 ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8141_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10945,plain,
% 11.93/12.11 ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_81]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_80,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oidom(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8142_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10943,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oidom(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_80]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_79,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oring(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8143_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10941,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oring(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_79]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_78,plain,
% 11.93/12.11 ( class_Divides_Osemiring__div(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8144_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10939,plain,
% 11.93/12.11 ( class_Divides_Osemiring__div(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_78]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_77,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oring__1(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8145_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10937,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oring__1(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_77]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_76,plain,
% 11.93/12.11 ( class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8146_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10935,plain,
% 11.93/12.11 ( class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_76]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_75,plain,
% 11.93/12.11 ( class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8147_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10933,plain,
% 11.93/12.11 ( class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_75]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_74,plain,
% 11.93/12.11 ( class_Ring__and__Field_Osemiring(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8148_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10931,plain,
% 11.93/12.11 ( class_Ring__and__Field_Osemiring(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_74]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_73,plain,
% 11.93/12.11 ( class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8149_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10929,plain,
% 11.93/12.11 ( class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_73]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_72,plain,
% 11.93/12.11 ( class_Ring__and__Field_Omult__mono(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8150_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10927,plain,
% 11.93/12.11 ( class_Ring__and__Field_Omult__mono(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_72]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_71,plain,
% 11.93/12.11 ( class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8151_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10925,plain,
% 11.93/12.11 ( class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_71]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_70,plain,
% 11.93/12.11 ( class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8152_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10923,plain,
% 11.93/12.11 ( class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_70]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_69,plain,
% 11.93/12.11 ( class_Ring__and__Field_Omult__mono1(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8153_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10921,plain,
% 11.93/12.11 ( class_Ring__and__Field_Omult__mono1(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_69]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_68,plain,
% 11.93/12.11 ( class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8154_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10919,plain,
% 11.93/12.11 ( class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_68]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_67,plain,
% 11.93/12.11 ( class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8155_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10917,plain,
% 11.93/12.11 ( class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_67]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_66,plain,
% 11.93/12.11 ( class_Ring__and__Field_Ocomm__ring__1(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8156_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10915,plain,
% 11.93/12.11 ( class_Ring__and__Field_Ocomm__ring__1(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_66]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_65,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8157_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10913,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_65]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_64,plain,
% 11.93/12.11 ( class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8158_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10911,plain,
% 11.93/12.11 ( class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_64]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_63,plain,
% 11.93/12.11 ( class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8159_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10909,plain,
% 11.93/12.11 ( class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_63]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_62,plain,
% 11.93/12.11 ( class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8160_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10907,plain,
% 11.93/12.11 ( class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_62]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_61,plain,
% 11.93/12.11 ( class_Ring__and__Field_Opordered__ring(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8161_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10905,plain,
% 11.93/12.11 ( class_Ring__and__Field_Opordered__ring(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_61]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_60,plain,
% 11.93/12.11 ( class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8162_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10903,plain,
% 11.93/12.11 ( class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_60]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_59,plain,
% 11.93/12.11 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8163_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10901,plain,
% 11.93/12.11 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_59]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_58,plain,
% 11.93/12.11 ( class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8164_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10899,plain,
% 11.93/12.11 ( class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_58]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_57,plain,
% 11.93/12.11 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8165_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10897,plain,
% 11.93/12.11 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_57]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_56,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8166_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10895,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_56]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_55,plain,
% 11.93/12.11 ( class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8167_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10893,plain,
% 11.93/12.11 ( class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_55]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_54,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oordered__semiring(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8168_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10891,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oordered__semiring(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_54]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_53,plain,
% 11.93/12.11 ( class_Ring__and__Field_Opordered__semiring(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8169_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10889,plain,
% 11.93/12.11 ( class_Ring__and__Field_Opordered__semiring(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_53]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_52,plain,
% 11.93/12.11 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8170_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10887,plain,
% 11.93/12.11 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_52]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_51,plain,
% 11.93/12.11 ( class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8171_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10885,plain,
% 11.93/12.11 ( class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_51]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_50,plain,
% 11.93/12.11 ( class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8172_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10883,plain,
% 11.93/12.11 ( class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_50]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_49,plain,
% 11.93/12.11 ( class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8173_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10881,plain,
% 11.93/12.11 ( class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_49]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_48,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8174_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10879,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_48]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_47,plain,
% 11.93/12.11 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8175_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10877,plain,
% 11.93/12.11 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_47]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_46,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8176_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10875,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_46]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_45,plain,
% 11.93/12.11 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8177_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10873,plain,
% 11.93/12.11 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_45]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_44,plain,
% 11.93/12.11 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8178_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10871,plain,
% 11.93/12.11 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_44]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_43,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8179_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10869,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_43]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_42,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8180_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10867,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_42]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_41,plain,
% 11.93/12.11 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8181_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10865,plain,
% 11.93/12.11 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_41]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_40,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8182_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10863,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_40]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_39,plain,
% 11.93/12.11 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8183_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10861,plain,
% 11.93/12.11 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_39]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_38,plain,
% 11.93/12.11 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8184_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10859,plain,
% 11.93/12.11 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_38]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_37,plain,
% 11.93/12.11 ( class_Int_Onumber(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8185_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10857,plain,
% 11.93/12.11 ( class_Int_Onumber(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_37]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_36,plain,
% 11.93/12.11 ( class_Power_Opower(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8186_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10855,plain,
% 11.93/12.11 ( class_Power_Opower(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_36]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_35,plain,
% 11.93/12.11 ( class_Orderings_Oorder(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8187_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10853,plain,
% 11.93/12.11 ( class_Orderings_Oorder(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_35]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_34,plain,
% 11.93/12.11 ( class_Orderings_Olinorder(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8188_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10851,plain,
% 11.93/12.11 ( class_Orderings_Olinorder(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_34]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_33,plain,
% 11.93/12.11 ( class_Orderings_Opreorder(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8189_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10849,plain,
% 11.93/12.11 ( class_Orderings_Opreorder(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_33]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_32,plain,
% 11.93/12.11 ( class_Divides_Osemiring__div(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8190_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10847,plain,
% 11.93/12.11 ( class_Divides_Osemiring__div(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_32]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_31,plain,
% 11.93/12.11 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8191_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10845,plain,
% 11.93/12.11 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_31]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_30,plain,
% 11.93/12.11 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8192_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10843,plain,
% 11.93/12.11 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_30]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_29,plain,
% 11.93/12.11 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8193_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10841,plain,
% 11.93/12.11 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_29]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_28,plain,
% 11.93/12.11 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8194_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10839,plain,
% 11.93/12.11 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_28]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_27,plain,
% 11.93/12.11 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8195_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10837,plain,
% 11.93/12.11 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_27]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_26,plain,
% 11.93/12.11 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8196_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10835,plain,
% 11.93/12.11 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_26]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_25,plain,
% 11.93/12.11 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8197_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10833,plain,
% 11.93/12.11 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_25]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_24,plain,
% 11.93/12.11 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8198_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10831,plain,
% 11.93/12.11 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_24]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_23,plain,
% 11.93/12.11 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8199_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10829,plain,
% 11.93/12.11 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_23]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_22,plain,
% 11.93/12.11 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8200_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10827,plain,
% 11.93/12.11 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_22]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_21,plain,
% 11.93/12.11 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8201_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10825,plain,
% 11.93/12.11 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_21]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_20,plain,
% 11.93/12.11 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8202_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10823,plain,
% 11.93/12.11 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_20]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_19,plain,
% 11.93/12.11 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8203_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10821,plain,
% 11.93/12.11 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_19]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_18,plain,
% 11.93/12.11 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8204_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10819,plain,
% 11.93/12.11 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_18]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_17,plain,
% 11.93/12.11 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8205_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10817,plain,
% 11.93/12.11 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_17]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_16,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8206_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10815,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_16]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_15,plain,
% 11.93/12.11 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8207_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10813,plain,
% 11.93/12.11 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_15]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_14,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8208_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10811,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_14]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_13,plain,
% 11.93/12.11 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8209_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10809,plain,
% 11.93/12.11 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_13]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_12,plain,
% 11.93/12.11 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8210_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10807,plain,
% 11.93/12.11 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_12]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_11,plain,
% 11.93/12.11 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8211_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10805,plain,
% 11.93/12.11 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_11]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10,plain,
% 11.93/12.11 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8212_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10803,plain,
% 11.93/12.11 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_10]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_9,plain,
% 11.93/12.11 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8213_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10801,plain,
% 11.93/12.11 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_9]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_8,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8214_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10799,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_8]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_7,plain,
% 11.93/12.11 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8215_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10797,plain,
% 11.93/12.11 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_7]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_6,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8216_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10795,plain,
% 11.93/12.11 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_6]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_5,plain,
% 11.93/12.11 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8217_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10793,plain,
% 11.93/12.11 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_5]) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_4,plain,
% 11.93/12.11 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 11.93/12.11 file('/export/starexec/sandbox/tmp/iprover_modulo_d9adab.p', c_0_8218_0) ).
% 11.93/12.11
% 11.93/12.11 cnf(c_10791,plain,
% 11.93/12.11 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 11.93/12.11 inference(copy,[status(esa)],[c_4]) ).
% 11.93/12.11
% 11.93/12.11
% 11.93/12.11
% 11.93/12.11 % ------ Statistics
% 11.93/12.11
% 11.93/12.11 % ------ General
% 11.93/12.11
% 11.93/12.11 % num_of_input_clauses: 4813
% 11.93/12.11 % num_of_input_neg_conjectures: 1
% 11.93/12.11 % num_of_splits: 0
% 11.93/12.11 % num_of_split_atoms: 0
% 11.93/12.11 % num_of_sem_filtered_clauses: 0
% 11.93/12.11 % num_of_subtypes: 0
% 11.93/12.11 % monotx_restored_types: 0
% 11.93/12.11 % sat_num_of_epr_types: 0
% 11.93/12.11 % sat_num_of_non_cyclic_types: 0
% 11.93/12.11 % sat_guarded_non_collapsed_types: 0
% 11.93/12.11 % is_epr: 0
% 11.93/12.11 % is_horn: 0
% 11.93/12.11 % has_eq: 1
% 11.93/12.11 % num_pure_diseq_elim: 0
% 11.93/12.11 % simp_replaced_by: 0
% 11.93/12.11 % res_preprocessed: 2
% 11.93/12.11 % prep_upred: 0
% 11.93/12.11 % prep_unflattend: 0
% 11.93/12.11 % pred_elim_cands: 0
% 11.93/12.11 % pred_elim: 0
% 11.93/12.11 % pred_elim_cl: 0
% 11.93/12.11 % pred_elim_cycles: 0
% 11.93/12.11 % forced_gc_time: 0
% 11.93/12.11 % gc_basic_clause_elim: 0
% 11.93/12.11 % parsing_time: 0.197
% 11.93/12.11 % sem_filter_time: 0.
% 11.93/12.11 % pred_elim_time: 0.
% 11.93/12.11 % out_proof_time: 0.
% 11.93/12.11 % monotx_time: 0.
% 11.93/12.11 % subtype_inf_time: 0.
% 11.93/12.11 % unif_index_cands_time: 0.
% 11.93/12.11 % unif_index_add_time: 0.003
% 11.93/12.11 % total_time: 5.648
% 11.93/12.11 % num_of_symbols: 128
% 11.93/12.11 % num_of_terms: 7644
% 11.93/12.11
% 11.93/12.11 % ------ Propositional Solver
% 11.93/12.11
% 11.93/12.11 % prop_solver_calls: 1
% 11.93/12.11 % prop_fast_solver_calls: 3
% 11.93/12.11 % prop_num_of_clauses: 3759
% 11.93/12.11 % prop_preprocess_simplified: 15259
% 11.93/12.11 % prop_fo_subsumed: 0
% 11.93/12.11 % prop_solver_time: 0.
% 11.93/12.11 % prop_fast_solver_time: 0.
% 11.93/12.11 % prop_unsat_core_time: 0.
% 11.93/12.11
% 11.93/12.11 % ------ QBF
% 11.93/12.11
% 11.93/12.11 % qbf_q_res: 0
% 11.93/12.11 % qbf_num_tautologies: 0
% 11.93/12.11 % qbf_prep_cycles: 0
% 11.93/12.11
% 11.93/12.11 % ------ BMC1
% 11.93/12.11
% 11.93/12.11 % bmc1_current_bound: -1
% 11.93/12.11 % bmc1_last_solved_bound: -1
% 11.93/12.11 % bmc1_unsat_core_size: -1
% 11.93/12.11 % bmc1_unsat_core_parents_size: -1
% 11.93/12.11 % bmc1_merge_next_fun: 0
% 11.93/12.11 % bmc1_unsat_core_clauses_time: 0.
% 11.93/12.11
% 11.93/12.11 % ------ Instantiation
% 11.93/12.11
% 11.93/12.11 % inst_num_of_clauses: 4438
% 11.93/12.11 % inst_num_in_passive: 0
% 11.93/12.11 % inst_num_in_active: 0
% 11.93/12.11 % inst_num_in_unprocessed: 4813
% 11.93/12.11 % inst_num_of_loops: 0
% 11.93/12.11 % inst_num_of_learning_restarts: 0
% 11.93/12.11 % inst_num_moves_active_passive: 0
% 11.93/12.11 % inst_lit_activity: 0
% 11.93/12.11 % inst_lit_activity_moves: 0
% 11.93/12.11 % inst_num_tautologies: 0
% 11.93/12.11 % inst_num_prop_implied: 0
% 11.93/12.11 % inst_num_existing_simplified: 0
% 11.93/12.11 % inst_num_eq_res_simplified: 0
% 11.93/12.11 % inst_num_child_elim: 0
% 11.93/12.11 % inst_num_of_dismatching_blockings: 0
% 11.93/12.11 % inst_num_of_non_proper_insts: 0
% 11.93/12.11 % inst_num_of_duplicates: 0
% 11.93/12.11 % inst_inst_num_from_inst_to_res: 0
% 11.93/12.11 % inst_dismatching_checking_time: 0.
% 11.93/12.11
% 11.93/12.11 % ------ Resolution
% 11.93/12.11
% 11.93/12.11 % res_num_of_clauses: 4949
% 11.93/12.11 % res_num_in_passive: 0
% 11.93/12.11 % res_num_in_active: 1559
% 11.93/12.11 % res_num_of_loops: 2
% 11.93/12.11 % res_forward_subset_subsumed: 3154
% 11.93/12.11 % res_backward_subset_subsumed: 0
% 11.93/12.11 % res_forward_subsumed: 0
% 11.93/12.11 % res_backward_subsumed: 0
% 11.93/12.11 % res_forward_subsumption_resolution: 0
% 11.93/12.11 % res_backward_subsumption_resolution: 0
% 11.93/12.11 % res_clause_to_clause_subsumption: 0
% 11.93/12.11 % res_orphan_elimination: 0
% 11.93/12.11 % res_tautology_del: 0
% 11.93/12.11 % res_num_eq_res_simplified: 0
% 11.93/12.11 % res_num_sel_changes: 0
% 11.93/12.11 % res_moves_from_active_to_pass: 0
% 11.93/12.11
% 11.93/12.11 % Status Unknown
% 11.93/12.12 % Last status :
% 11.93/12.12 % SZS status Unknown
%------------------------------------------------------------------------------